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Relevant bibliographies by topics / Topological description

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Academic literature on the topic 'Topological description'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Topological description"

1

Cho, Gil Young, and Joel E. Moore. "Topological BF field theory description of topological insulators." Annals of Physics 326, no. 6 (2011): 1515–35. http://dx.doi.org/10.1016/j.aop.2010.12.011.

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Imran, Muhammad, Muhammad Kamran Siddiqui, Abdul Qudair Baig, and Hani Shaker. "Molecular topological description of bacterial hypertrees." Journal of Intelligent & Fuzzy Systems 38, no. 4 (2020): 5095–105. http://dx.doi.org/10.3233/jifs-191714.

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Mayagoitia, Vicente, Fernando Rojas, Isaac Kornhauser, E. Ancona, Giorgio Zgrablich, and Roberto José Faccio. "Twofold Description of Topological Disordered Surfaces†." Langmuir 12, no. 1 (1996): 207–10. http://dx.doi.org/10.1021/la9407065.

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SHEN, SHUN-QING, WEN-YU SHAN, and HAI-ZHOU LU. "TOPOLOGICAL INSULATOR AND THE DIRAC EQUATION." SPIN 01, no. 01 (2011): 33–44. http://dx.doi.org/10.1142/s2010324711000057.

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We present a general description of topological insulators from the point of view of Dirac equations. The Z2 index for the Dirac equation is always zero, and thus the Dirac equation is topologically trivial. After the quadratic term in momentum is introduced to correct the mass term m or the band gap of the Dirac equation, i.e., m → m − Bp2, the Z2 index is modified as 1 for mB > 0 and 0 for mB < 0. For a fixed B there exists a topological quantum phase transition from a topologically trivial system to a nontrivial system when the sign of mass m changes. A series of solutions near the boundary in the modified Dirac equation is obtained, which is characteristic of topological insulator. From the solutions of the bound states and the Z2 index we establish a relation between the Dirac equation and topological insulators.

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Goodson, Cheryl Sorenson, and Robert J. Meier. "Topological description of Easter Islander palmar dermatoglyphics." American Journal of Physical Anthropology 71, no. 2 (1986): 225–32. http://dx.doi.org/10.1002/ajpa.1330710210.

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Pérez, Marcos, and Gerardo Martínez. "Polynomial description of inhomogeneous topological superconducting wires." Journal of Physics: Condensed Matter 29, no. 47 (2017): 475503. http://dx.doi.org/10.1088/1361-648x/aa93cd.

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Gomis, J., and J. Roca. "Superfield description of N=2 topological supergravity." Physics Letters B 268, no. 2 (1991): 197–202. http://dx.doi.org/10.1016/0370-2693(91)90803-x.

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Kim, Ki-Seok, and Akihiro Tanaka. "Emergent gauge fields and their nonperturbative effects in correlated electrons." Modern Physics Letters B 29, no. 16 (2015): 1540054. http://dx.doi.org/10.1142/s0217984915400540.

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The history of modern condensed matter physics may be regarded as the competition and reconciliation between Stoner’s and Anderson’s physical pictures, where the former is based on momentum–space descriptions focusing on long wave-length fluctuations while the latter is based on real-space physics emphasizing emergent localized excitations. In particular, these two view points compete with each other in various nonperturbative phenomena, which range from the problem of high [Formula: see text] superconductivity, quantum spin liquids in organic materials and frustrated spin systems, heavy-fermion quantum criticality, metal-insulator transitions in correlated electron systems such as doped silicons and two-dimensional electron systems, the fractional quantum Hall effect, to the recently discussed Fe-based superconductors. An approach to reconcile these competing frameworks is to introduce topologically nontrivial excitations into the Stoner’s description, which appear to be localized in either space or time and sometimes both, where scattering between itinerant electrons and topological excitations such as skyrmions, vortices, various forms of instantons, emergent magnetic monopoles, and etc. may catch nonperturbative local physics beyond the Stoner’s paradigm. In this review paper, we discuss nonperturbative effects of topological excitations on dynamics of correlated electrons. First, we focus on the problem of scattering between itinerant fermions and topological excitations in antiferromagnetic doped Mott insulators, expected to be relevant for the pseudogap phase of high [Formula: see text] cuprates. We propose that nonperturbative effects of topological excitations can be incorporated within the perturbative framework, where an enhanced global symmetry with a topological term plays an essential role. In the second part, we go on to discuss the subject of symmetry protected topological states in a largely similar light. While we do not introduce itinerant fermions here, the nonperturbative dynamics of topological excitations is again seen to be crucial in classifying topologically nontrivial gapped systems. We point to some hidden links between several effective field theories with topological terms, starting with one-dimensional physics, and subsequently finding natural generalizations to higher dimensions.

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STAIC, MIHAI D. "AN EXPLICIT DESCRIPTION OF THE SIMPLICIAL GROUP." Journal of the Australian Mathematical Society 95, no. 1 (2013): 133–44. http://dx.doi.org/10.1017/s1446788713000128.

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10

Bal, Guillaume. "Continuous bulk and interface description of topological insulators." Journal of Mathematical Physics 60, no. 8 (2019): 081506. http://dx.doi.org/10.1063/1.5086312.

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Dissertations / Theses on the topic "Topological description"

1

Hanke, Jan-Philipp Verfasser], Stefan [Akademischer Betreuer] Blügel, and Carsten [Akademischer Betreuer] [Honerkamp. "Topological properties of complex magnets from an advanced ab-initio Wannier description / Jan-Philipp Hanke ; Stefan Blügel, Carsten Honerkamp." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://d-nb.info/1181193001/34.

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Hanke, Jan-Philipp [Verfasser], Stefan Akademischer Betreuer] Blügel, and Carsten [Akademischer Betreuer] [Honerkamp. "Topological properties of complex magnets from an advanced ab-initio Wannier description / Jan-Philipp Hanke ; Stefan Blügel, Carsten Honerkamp." Aachen : Universitätsbibliothek der RWTH Aachen, 2018. http://nbn-resolving.de/urn:nbn:de:101:1-2019032005552261164014.

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Rossi, Dario. "Fracton phases: analytical description and simulations of their thermal behavior." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23919/.

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Many-body physics studies the collective behavior of systems with a large number of microscopic constituents. The interaction between the fundamental particles creates a common behavior within the system with emergent excitations exhibiting uncommon characteristics. In three spatial dimensions it has recently been found that a new kind of particles can exist characterized by a fractionalized mobility, being either immobile or mobile only along sub-dimensional spaces: fractons. In this thesis I explore fracton phases focusing on their topological and thermal properties. Fractons can be explained as a generalization of usual topological particles with some fundamental differences, which make fracton order a new field on its own. Fracton models are studied first from the point of view of exactly solvable lattice spin models, focusing on the similarities and differences with usual topological models. Fracton phases are also described through the use of symmetric tensor gauge theory. This gives a theoretical background which is used to explore some possible phases at finite densities of fractons, like Fermi liquids and quantum Hall states. The thermal properties of such systems are studied in detail through the use of numerical simulations relying on exact-diagonalization. Various correspondences with systems featuring quantum many-body scars are found, in particular with the PXP model. The non-thermal behavior of the models under study is justified by the fragmentation of the Hilbert space in a large number of separated sub-sectors, not related to symmetries of the model. Further, the range of the local Hamiltonian operators is found to be of fundamental relevance in the thermal properties of the system. For certain ranges it is observed that the models are not able to reach the thermal state at long times. Instead, increasing the length of interactions the system becomes ergodic, with the exception of a small number of special eigenstates which remain non-thermal.

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Franco, Chris Hebert de Jesus. "Síntese e caracterização de polímeros de coordenação por difração de raios X." Universidade Federal de Juiz de Fora (UFJF), 2014. https://repositorio.ufjf.br/jspui/handle/ufjf/4436.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-05-08T18:41:59Z No. of bitstreams: 1 chrishebertdejesusfranco.pdf: 4880715 bytes, checksum: 5acf9659d9521fbd8fff7e658b785953 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-05-17T14:04:17Z (GMT) No. of bitstreams: 1 chrishebertdejesusfranco.pdf: 4880715 bytes, checksum: 5acf9659d9521fbd8fff7e658b785953 (MD5)<br>Made available in DSpace on 2017-05-17T14:04:17Z (GMT). No. of bitstreams: 1 chrishebertdejesusfranco.pdf: 4880715 bytes, checksum: 5acf9659d9521fbd8fff7e658b785953 (MD5) Previous issue date: 2014-07-18<br>CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Este trabalho de dissertação de mestrado versou a síntese e a caracterização estrutural e topológica de quatro novos polímeros de coordenação denominados como Zn-psb, Mn-psb, Cu-psb e Ni-btc com os metais da primeira série de transição (Zn+2, Mn+2, Cu+2 e Ni+2) contendo os ligantes sal ácido 4-sulfobenzoato de monopotássio (H-psb) e ácido 1,2,4-benzenotricarboxilico (4-btc). Além de dois outros compostos poliméricos (Co-btc e Cu-pza) já descritos na literatura. Os compostos foram caracterizados por técnicas espectroscópicas (Infravermelho e Raman) e análise elementar (CHN). A espectroscopia vibracional foi utilizada para apreender sobre os modos de coordenação dos grupos carboxilatos nos compostos com o ligante 4-btc por meio do cálculo do Δѵ [ ѵα(COO) – ѵs(COO) ], em que um estudo da simetria por meio da análise de coordenada normal permitiu uma atribuição mais rigorosa para os modos de coordenação para os grupos SO3 nos compostos derivados do ligante (H-psb). Uma adaptação da técnica de cristalização em gel foi utilizada. Os resultados da análise de CHN evidenciaram que a utilização do agente de cristalização cloridrato de etambutol levou a formação de impurezas na superfície dos compostos Zn-psb e Mn-psb que foram eliminadas durante o processo de cristalização. Os dados de análise térmica (TG/DTA) foram utilizados como dado complementar para caracterização estrutural do composto Ni-btc. As estruturas dos quatro compostos foram determinadas por difração de raios X por monocristal, onde foi possível verificar que a estrutura cristalina do composto Cu-psb encontra-se com uma desordem posicional com fração 54:46 para o anel e oΔѵ grupo SO3, enquanto o monocristal do composto Ni-btc apresenta se geminado com fração 49:51 para os domínios. A solução da estrutura geminada foi dificultada devido à contribuição similar dos domínios formados. Através da difração de raios X por policristais foi possível refinar o modelo estrutural proposto para o composto Ni-btc por meio do método de Rietveld. A descrição topológica desses compostos foi feita utilizando teoria gráfica, sendo que algumas definições e termos foram apresentados. Apesar da semelhança estrutural, o composto Zn-psb apresentou uma rede do tipo tfz-d enquanto o composto Mn-psb apresentou uma rede do tipo pcu.<br>This work shows the synthesis, structural and topological characterization of four new coordination polymers described as Zn-psb , Mn-psb, Cu-psb and Ni-btc with metals of the first row transition metal ions (Zn+2, Mn+2, Cu+2 and Ni+2) and 4-sulphobenzoate monopotassium (Hpsb), 1,2,4- benzenetricarboxylic acid (4-btc) as ligands. And another two polimeric componds (Co-btc and Cu-pza) described in the literature. The compounds were characterized by spectroscopic techniques (infrared and Raman) and elemental analysis (CHN) where thermal analysis (TG/DTA) were only used for structural characterization of the compound Ni-btc. The vibrational spectroscopy was used to understand the coordination modes of the carboxylate groups in the compounds with 4-btc ligand by analyze of Δѵ values [ ѵα(COO) – ѵs(COO) ]. A study of symmetry by analysis of normal coordinates allowed a rigorous assignment to coordination modes for SO3 groups in the compounds derived H-psb ligand. An adaptation of the technique of crystallization in gel was used. The results of CHN showed that the use of ethambutol hydrochloride as a crystallization agent led to formation of impurities on the surface of the Zn-psb and Mn-psb compounds that was eliminated during the crystallization process. The structures of the four compounds were determined for X-ray diffraction by single crystal, where it was observed that the crystal structure of the compound Cu-psb displays a positional disorder with a fraction of 54:46 for the ring and SO3 group, while the single crystal of the compound Ni-btc was twinned with a fraction of 49:51 for the each domain. The solution of structure was complicated due a similar contribution from domains formed. X-ray diffraction by polycrystals was used like a tool for give a support to refine the structural model proposed for the compound Ni-btc by the Rietveld method. The topological description of these compounds was performed using graph theory where some definitions and terms were presented. Despite the structural similarity, the compound Zn-psb displayed a network of type tfz-d while Mn-psb compound showed a net of type pcu.

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5

Cohen, Michael Patrick. "Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc271792/.

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In this thesis we study descriptive-set-theoretic and measure-theoretic properties of Polish groups, with a thematic emphasis on the contrast between groups which are locally compact and those which are not. The work is divided into three major sections. In the first, working jointly with Robert Kallman, we resolve a conjecture of Gleason regarding the Polish topologization of abstract groups of homeomorphisms. We show that Gleason's conjecture is false, and its conclusion is only true when the hypotheses are considerably strengthened. Along the way we discover a new automatic continuity result for a class of functions which behave like but are distinct from functions of Baire class 1. In the second section we consider the descriptive complexity of those subsets of the permutation group S? which arise naturally from the classical Levy-Steinitz series rearrangement theorem. We show that for any conditionally convergent series of vectors in Euclidean space, the sets of permutations which make the series diverge, and diverge properly, are ?03-complete. In the last section we study the phenomenon of Haar null sets a la Christensen, and the closely related notion of openly Haar null sets. We identify and correct a minor error in the proof of Mycielski that a countable union of Haar null sets in a Polish group is Haar null. We show the openly Haar null ideal may be distinct from the Haar null ideal, which resolves an uncertainty of Solecki. We show that compact sets are always Haar null in S? and in any countable product of locally compact non-compact groups, which extends the domain of a result of Dougherty. We show that any countable product of locally compact non-compact groups decomposes into the disjoint union of a meager set and a Haar null set, which gives a partial positive answer to a question of Darji. We display a translation property in the homeomorphism group Homeo+[0,1] which is impossible in any non-trivial locally compact group. Other related results are peppered throughout.

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6

Mandal, Sayan. "Applications of Persistent Homology and Cycles." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1591811236244813.

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7

Dowerk, Philip. "Algebraic and Topological Properties of Unitary Groups of II_1 Factors." Doctoral thesis, Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-165242.

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The thesis is concerned with group theoretical properties of unitary groups, mainly of II_1 factors. The author gives a new and elementary proof of an result on extreme amenability, defines the bounded normal generation property and invariant automatic continuity property and proves these for various unitary groups of functional analytic types.

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Xuan, Mingzhi. "On Steinhaus Sets, Orbit Trees and Universal Properties of Various Subgroups in the Permutation Group of Natural Numbers." Thesis, University of North Texas, 2012. https://digital.library.unt.edu/ark:/67531/metadc149691/.

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In the first chapter, we define Steinhaus set as a set that meets every isometric copy of another set at exactly one point. We show that there is no Steinhaus set for any four-point subset in a plane.In the second chapter, we define the orbit tree of a permutation group of natural numbers, and further introduce compressed orbit trees. We show that any rooted finite tree can be realized as a compressed orbit tree of some permutation group. In the third chapter, we investigate certain classes of closed permutation groups of natural numbers with respect to their universal and surjectively universal groups. We characterize two-sided invariant groups, and prove that there is no universal group for countable groups, nor universal group for two-sided invariant groups in permutation groups of natural numbers.

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Avgin, Murat Atacan. "Evolutionary Structural Optimization Of Multiple Load Case Generic Aircraft Components." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614973/index.pdf.

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Structural optimization is achieving the best objective function from a predefined medium, well bounded by constraints. Optimization methods have been utilized on different engineering applications to minimize the conceptual design effort that creates the necessity of new optimization techniques. Evolutionary Structural Optimization (ESO) is a topological optimization algorithm, which is defined as removing of inefficient elements from a design domain. ESO stress based method is applied to linear elastic, isotropic aircraft components for multiple load case. The bulk structure is modeled and discretized into three dimensional solid hexahedron or tetrahedron mesh, afterwards constraints, load and boundary conditions are defined in MSC.PATRAN. MSC.NASTRAN is utilized as finite element solver. The stress results are collected and evaluated by program developed in MICROSOFT VISUAL BASIC. The elements which are below the stress limit are eliminated. The remaining elements are operated after increasing the stress limit. The iteration process continued until prescribed rejection ratio is reached. Well known examples in literature are solved using program code and similar results are obtained which is a check for the code developed. Four generic aircraft components, the clevis, the lug, the main landing fitting and power control unit fitting were structurally optimized. The stress distribution in optimized results and existing aircraft designs are compared.

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Santos, Dalí Freire Dias dos. "Recuperação de imagens: similaridade parcial baseada em espectro de grafo e cor." Universidade Federal de Uberlândia, 2012. https://repositorio.ufu.br/handle/123456789/12531.

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Traditionally, local shape descriptors or color and texture based descriptors are used to describe the content of images. Although, these solutions achieving good results, they are not able to distinguish scenes that contain objects with the same colors, but with a different spatial organization or do not supports partial matching. In this work we focus on a particular case of the partial matching that is to find individual objects in images that contain various objects. Since the color is one of the most visually distinguishable properties, we propose a new descriptor based only on color able to find pictures of objects that are contained in other images. Although our descriptor has shown better results when compared to related works, this new color descriptor is not able to discriminate objects topologically different but having the same colors. To overcome this problem, we also propose a new approach to the partial matching of images that combine color and topological features on a single descriptor. This new descriptor, first performs a simplification process of the original image, which identifies the color regions that make up the image. Then, we represent the spatial information among the color regions using a topological graph, where vertices represent the color regions and the edges represent the spatial connections between them. To calculate the descriptor from this graph representation, we use the spectral theory of graphs, avoiding the need to make a direct comparison between graphs. To support the partial matching, we propose a decomposition of the main graph into several subgraphs, and also calculate descriptors for these subgraphs.<br>Tradicionalmente, descritores de forma, ou descritores baseados em cor e textura, são utilizados para descrever o conteúdo visual das imagens. Embora essas abordagens apresentem bons resultados, elas não são capazes de diferenciar adequadamente imagens que contêm objetos com as mesmas cores, mas com organização espacial diferente ou não suportam a pesquisa parcial de imagens. Neste trabalho focamos em um caso particular da pesquisa parcial de imagens, que é encontrar objetos em imagens que contenham vários objetos, não deixando de lado a pesquisa total (encontrar imagens similares à original). Dado que a cor é uma das propriedades visuais mais discriminativas, propomos um novo descritor baseado somente em cor capaz de encontrar imagens de objetos que estão contidos em outras imagens. Embora tenha apresentado melhores resultados quando comparado a trabalhos correlatos, esse novo descritor de cor não é capaz de discriminar objetos topologicamente diferentes mas que possuam as mesmas cores. Com o intuito de resolver esse problema, também propomos uma nova abordagem para a recuperação parcial de imagens que combina características topológicas e de cor em um único descritor. Esse novo descritor primeiramente realiza um processo de simplificação da imagem original, onde são identificadas as regiões de cor que compõem a imagem. Após esse processo de simplificação, a organização espacial das regiões de cor previamente identificadas é representada por meio de um grafo topológico, onde os vértices representam as regiões de cor e as arestas representam as conexões entre essas regiões. O descritor topológico é então calculado a partir do grafo de topologia utilizando a teoria espectral de grafos, evitando a necessidade de se realizar uma comparação direta entre grafos. Para suportar a pesquisa parcial de imagens, é realizada uma decomposição do grafo principal em diversos subgrafos.<br>Mestre em Ciência da Computação

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Books on the topic "Topological description"

1

Blödel, Joachim. Topological device descriptions and applications. Verlag Shaker, 1992.

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2

Siepi, Serafino. Descrizione topologico-istorica della città di Perugia esposta nell'anno MDCCCXXII. Deputazione de storia patria per l'Umbria, 1994.

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Kechris, A. S. Topics in orbit equivalence. Springer, 2004.

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J, Calvo-Pérez, and Hernández Sacristán Carlos, eds. Perceptual and topological criteria in linguistic description. Dept. of Spanish and Portuguese, University of Minnesota, 1988.

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Murakami, S., and T. Yokoyama. Quantum spin Hall effect and topological insulators. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198787075.003.0017.

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This chapter begins with a description of quantum spin Hall systems, or topological insulators, which embody a new quantum state of matter theoretically proposed in 2005 and experimentally observed later on using various methods. Topological insulators can be realized in both two dimensions (2D) and in three dimensions (3D), and are nonmagnetic insulators in the bulk that possess gapless edge states (2D) or surface states (3D). These edge/surface states carry pure spin current and are sometimes called helical. The novel property for these edge/surface states is that they originate from bulk topological order, and are robust against nonmagnetic disorder. The following sections then explain how topological insulators are related to other spin-transport phenomena.

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Hrushovski, Ehud, and François Loeser. A closer look at the stable completion. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0005.

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This chapter introduces the concept of stable completion and provides a concrete representation of unit vector Mathematical Double-Struck Capital A superscript n in terms of spaces of semi-lattices, with particular emphasis on the frontier between the definable and the topological categories. It begins by constructing a topological embedding of unit vector Mathematical Double-Struck Capital A superscript n into the inverse limit of a system of spaces of semi-lattices L(Hsubscript d) endowed with the linear topology, where Hsubscript d are finite-dimensional vector spaces. The description is extended to the projective setting. The linear topology is then related to the one induced by the finite level morphism L(Hsubscript d). The chapter also considers the condition that if a definable set in L(Hsubscript d) is an intersection of relatively compact sets, then it is itself relatively compact.

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Skrzypczak, Michał. Descriptive Set Theoretic Methods in Automata Theory: Decidability and Topological Complexity. Springer, 2016.

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Jäger, Agnes, Gisella Ferraresi, and Helmut Weiß, eds. Clause Structure and Word Order in the History of German. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198813545.001.0001.

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Over roughly the last decade, there has been a notable rise in new research on historical German syntax in a generative perspective. This volume presents a state-of-the-art survey of this thriving new line of research by leading scholars in the field, combining it with new insights into the syntax of historical German. It is the first comprehensive and concise generative historical syntax of German covering numerous central aspects of clause structure and word order, tracing them throughout various historical stages. Each chapter combines a solid empirical basis and valid descriptive generalizations with reference also to the more traditional topological model of the German clause with a detailed discussion of theoretical analyses couched in the generative framework. The volume is divided into three parts according to the main parts of the clause: the left periphery dealing with verbal placement and the filling of the prefield (verb second, verb first, verb third orders) as well as adverbial connectives; the middle field including discussion of pronominal syntax, order of full NPs and the history of negation; and the right periphery with chapters on basic word order (OV/VO), prosodic and information-structural factors, and the verbal complex including the development of periphrastic verb forms and the phenomena of IPP (infinitivus pro participio) and ACI (accusativus cum infinitivo). This book thus provides a convenient overview of current research on the major issues concerning historical German clause structure both for scholars interested in more traditional description and for those interested in formal accounts of diachronic syntax.

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Fagiolo, Giorgio. The International Trade Network. Edited by Jennifer Nicoll Victor, Alexander H. Montgomery, and Mark Lubell. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780190228217.013.29.

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This chapter critically reviews the stream of literature that has recently applied the theory of complex networks to the study of international trade. It surveys three interrelated lines of research. First it discusses descriptive work aimed at characterizing the topological properties of the international trade network (ITN) and their evolution. Second, it describes simple models that can replicate and explain those empirical properties. Third, it looks at how the topological properties of the ITN can be used as predictors of the future performance of world countries and the diffusion of economic shocks. Finally, the chapter argues that a promising avenue for future research in this field may involve analyzing in a common network framework not only trade relations but also other bilateral linkages among countries, including, inter alia, finance, investment, and human mobility.

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Arhangel'Skii, A. V. General Topology III: Paracompactness, Metrization, Coverings ((Encyclopaedia of Mathematical Sciences Ser.; Vol. 51)). Springer, 1995.

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Book chapters on the topic "Topological description"

1

Wittenburg, J. "Topological Description of Articulated Systems." In Computer-Aided Analysis of Rigid and Flexible Mechanical Systems. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1166-9_6.

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Schwarz, Friedhelm. "Description of the topological universe hull." In Categorical Methods in Computer Science With Aspects from Topology. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51722-7_21.

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Bar'yakhtar, Victor G., Mikhail V. Chetkin, Boris A. Ivanov, and Sergei N. Gadetskii. "Stability and probabilistic description of DW motion." In Dynamics of Topological Magnetic Solitons. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0045999.

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Caselles, Vicent, and Pascal Monasse. "A Topological Description of the Topographic Map." In Geometric Description of Images as Topographic Maps. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04611-7_4.

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Zhang, Hao Lan, Chaoyi Pang, Xingsen Li, Bin Shen, and Yan Jiang. "A Topological Description Language for Agent Networks." In Web Technologies and Applications. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29253-8_74.

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Vakhania, N. N., V. I. Tarieladze, and S. A. Chobanyan. "Topological Description of Characteristic Functionals and Cylindrical Measures." In Probability Distributions on Banach Spaces. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3873-1_6.

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Eguchi, Tohru. "String Duality and a New Description of the E 6 Singularity." In Topological Field Theory, Primitive Forms and Related Topics. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-0705-4_4.

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Du, Shihong, Qiao Wang, Qiming Qin, and Yipeng Yang. "Fuzzy Description of Topological Relations II: Computation Methods and Examples." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11539902_162.

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Li, Xuan. "Research on the Topological Structure Description of Urban Rail Transit Network." In Proceedings of the 2015 International Conference on Electrical and Information Technologies for Rail Transportation. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-49370-0_43.

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Tarieladze, Vazha I. "On the Topological Description of Characteristic Functionals in Infinite Dimensional Spaces." In Probability in Banach Spaces, 9. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0253-0_14.

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Conference papers on the topic "Topological description"

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Doss-Hammel, Stephen M., and Nathan Platt. "Topological description of mirage effects." In SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, edited by Robert A. Melter, Angela Y. Wu, Fred L. Bookstein, and William D. K. Green. SPIE, 1995. http://dx.doi.org/10.1117/12.216432.

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Fan, Taihe, and Daowu Pei. "Topological Description of Rough Set Models." In Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007). IEEE, 2007. http://dx.doi.org/10.1109/fskd.2007.591.

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Liu, Xin, Wen-bao Liu, and Cheng-ming Li. "Qualitative Description and Reasoning of Topological Relation in Three-Dimensional GIS." In 2008 3rd International Conference on Innovative Computing Information and Control (ICICIC). IEEE, 2008. http://dx.doi.org/10.1109/icicic.2008.438.

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Zou, Shi-lin, Bo Liu, Da-jun Li, Jian Ruan, and Xian-chun Guo. "Formal description of topological relations between spatial objects with a hole." In Geoinformatics 2008 and Joint Conference on GIS and Built environment: Advanced Spatial Data Models and Analyses, edited by Lin Liu, Xia Li, Kai Liu, and Xinchang Zhang. SPIE, 2009. http://dx.doi.org/10.1117/12.813099.

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Xu, Biao, Xianggen Yin, Shuai Pang, and Xin Yin. "A Novel Analytic Method for Power System Alarm Processing Employing Topological Description." In 2019 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2019. http://dx.doi.org/10.1109/pesgm40551.2019.8973784.

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Nechaev, S., K. Polovnikov, and M. V. Tamm. "Gaussian network approach to the description of topological constraints in the chromatin." In 2018 IEEE International Conference on Bioinformatics and Biomedicine (BIBM). IEEE, 2018. http://dx.doi.org/10.1109/bibm.2018.8621367.

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Xia, Yuanping, and Jian Ruan. "Description of topological relation between simple region and region with a hole." In International Conference on Intelligent Earth Observing and Applications, edited by Guoqing Zhou and Chuanli Kang. SPIE, 2015. http://dx.doi.org/10.1117/12.2203569.

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Shimkevich, Alexander L. "Tetrahedral-Chain-Cluster Model for Thermodynamic Description of Fluids." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48566.

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Abstract:

The topological structure of density fluctuations of the condensed matter in different aggregative states (liquid, crystal, and amorphous body) is represented as instant densely packed fours of atoms as tetrahedrons connected in pairs by faces in Bernal’s n-chains. Tetrahedral clusters of the dense part of the matter are investigated within the framework of matrix algebra: the “genetic” structure of Bernal’s n-chains is decoded; for calculating the partition function and configuration entropy of the isotropic matter, the number of distinguishable tetrahedral chains is determined as a function of the number of tetrahedrons in them.

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Schultz, Johannes. "Axion Mie theory – An analytical description of surface plasmon resonances for spherical topological insulators." In European Microscopy Congress 2020. Royal Microscopical Society, 2021. http://dx.doi.org/10.22443/rms.emc2020.835.

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Ferreira, F., V. Santos, and J. Dias. "A low-level framework for a probabilistic treatment of the topological description of a robot mission." In 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems. IEEE, 2005. http://dx.doi.org/10.1109/iros.2005.1545362.

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