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Relevant bibliographies by topics / Topological structures

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Academic literature on the topic 'Topological structures'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Topological structures"

1

Ota, Yasutomo, Kenta Takata, Tomoki Ozawa, et al. "Active topological photonics." Nanophotonics 9, no. 3 (2020): 547–67. http://dx.doi.org/10.1515/nanoph-2019-0376.

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AbstractTopological photonics emerged as a novel route to engineer the flow of light. Topologically protected photonic edge modes, which are supported at the perimeters of topologically nontrivial insulating bulk structures, are of particular interest as they may enable low-loss optical waveguides immune to structural disorder. Very recently, there has been a sharp rise of interest in introducing gain materials into such topological photonic structures, primarily aiming at revolutionizing semiconductor lasers with the aid of physical mechanisms existing in topological physics. Examples of rema

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Zhong, Jinzhan, and Qiwen Zhan. "Structured Optical Toroidal Vortices with Rotational Symmetry." Photonics 12, no. 3 (2025): 288. https://doi.org/10.3390/photonics12030288.

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Toroidal vortices, as intriguing topological structures, play a fundamental role across a wide range of physical fields. In this study, we theoretically propose a family of structured optical toroidal vortices as generalized forms of toroidal vortices in paraxial continuous wave beams. These structured optical toroidal vortices exhibit unique rotational symmetry while preserving the topological properties of standard toroidal vortices. The three-dimensional topological structures demonstrate l-fold rotational symmetry, which is closely related to the topological charges. Structured toroidal vo

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Tholen, Walter. "Ordered topological structures." Topology and its Applications 156, no. 12 (2009): 2148–57. http://dx.doi.org/10.1016/j.topol.2009.03.038.

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Yeh, Jia Yi. "The Design and Analysis of Topological Phononic Crystals with Cavity." Key Engineering Materials 963 (October 13, 2023): 47–52. http://dx.doi.org/10.4028/p-fo9zp7.

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The topological phononic crystal is composed of two topologically distinct structures. The topological phononic crystal resonant cavity based are proposed and the acoustic wave propagate characteristics are also presented. The topological cavity with defects will change the resonance frequency and quality factor is also discussed. The advantages of the topological cavity are the better quality factors and the concentrated sound pressure larger than general defect cavity.

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Demirci, Mustafa. "Three topological structures of smooth topological spaces." Fuzzy Sets and Systems 101, no. 1 (1999): 185–90. http://dx.doi.org/10.1016/s0165-0114(97)00117-6.

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Atanassov, Krassimir. "Intuitionistic Fuzzy Modal Multi-Topological Structures and Intuitionistic Fuzzy Multi-Modal Multi-Topological Structures." Mathematics 12, no. 3 (2024): 361. http://dx.doi.org/10.3390/math12030361.

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On the basis of K. Kuratowski’s definitions of a topological structure with a closure or interior operator, the concept of a modal topological structure (MTS) with one of these operators was introduced by the author. This new structure was illustrated with examples with intuitionistic fuzzy topological operators from both examples, and for this reason, these structures were named intuitionistic fuzzy MTSs (IFMTSs). In a series of papers, the author introduced some modifications and extensions to the IFMTSs, e.g., intuitionistic fuzzy temporal topological structures, intuitionistic fuzzy level

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Guo, Yuning, Matheus Rosa, and Massimo Ruzzene. "Symmetry-enforced gapless surface states in three-dimensional acoustic gyroid structures." Journal of the Acoustical Society of America 151, no. 4 (2022): A97. http://dx.doi.org/10.1121/10.0010772.

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The discovery of topological gapless phases challenges the perception that topological features necessarily require a bandgap, expanding the understanding of topological phases of matter in various realms including electric, photonic, and phononic systems. The progress on 3D topological gapless states in elastic and acoustic systems is still in its early stages of formulation and design. We here investigate 3D acoustic gyroid crystals supporting symmetry-enforced gapless surface states in minimal surface-based structures. The inherent chirality and morphology of gyroid surfaces enable the impl

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Pilozzi, Laura, and Claudio Conti. "Anisotropic circular topological structures." Optical Materials Express 11, no. 2 (2021): 425. http://dx.doi.org/10.1364/ome.412528.

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Hughes, C. Bruce. "Controlled homotopy topological structures." Pacific Journal of Mathematics 133, no. 1 (1988): 69–97. http://dx.doi.org/10.2140/pjm.1988.133.69.

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Agarwal, Ravi P., Yeol Je Cho, and Reza Saadati. "On Random Topological Structures." Abstract and Applied Analysis 2011 (2011): 1–41. http://dx.doi.org/10.1155/2011/762361.

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We present some topics about random spaces. The main purpose of this paper is to study topological structure of random normed spaces and random functional analysis. These subjects are important to the study of nonlinear analysis in random normed spaces.

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Dissertations / Theses on the topic "Topological structures"

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Mosley, Alexander James. "Groups definable in topological structures." Thesis, Queen Mary, University of London, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343709.

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Heller, Gabriella. "Topological Complexity in Protein Structures." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/pomona_theses/118.

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For DNA molecules, topological complexity occurs exclusively as the result of knotting or linking of the polynucleotide backbone. By contrast, while a few knots and links have been found within the polypeptide backbones of some protein structures, non-planarity can also result from the connectivity between a polypeptide chain and attached metal structures. In this thesis, we survey the known types of knots, links, and non-planar graphs in protein structures with and without including such bonds between proteins and metals. Then we present new examples of protein structures containing M\"obius

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Gregory, Ruth Ann Watson. "Topological defects in cosmology." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.292897.

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Edvardsson, Elisabet. "Band structures of topological crystalline insulators." Thesis, Karlstads universitet, Institutionen för ingenjörsvetenskap och fysik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-65536.

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Topological insulators and topological crystalline insulators are materials that have a bulk band structure that is gapped, but that also have toplogically protected non-gapped surface states. This implies that the bulk is insulating, but that the material can conduct electricity on some of its surfaces. The robustness of these surface states is a consequence of time-reversal symmetry, possibly in combination with invariance under other symmetries, like that of the crystal itself. In this thesis we review some of the basic theory for such materials. In particular we discuss how topological inv

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Pugh, David John Rhydwyn. "Topological structures in lattice gauge theory." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279896.

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Johansson, Gunnar. "Local Level Set Segmentation with Topological Structures." Thesis, Linköping University, Department of Science and Technology, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-6904.

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<p>Locating and segmenting objects such as bones or internal organs is a common problem in medical imaging. Existing segmentation methods are often cumbersome to use for medical staff, since they require a close initial guess and a range of different parameters to be set appropriately. For this work, we present a two-stage segmentation framework which relies on an initial isosurface interactively extracted by topological analysis. The initial isosurface seldom provides a correct segmentation, so we refine the surface using an iterative level set method to better match the desired object bounda

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Chishwashwa, Nyumbu. "Pairings of Binary reflexive relational structures." Thesis, University of the Western Cape, 2008. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_7126_1256734489.

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<p>The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations between the categories of topological spaces, closure spaces and relational structures. We study the 4-point non-Hausdorff model S4 weakly homotopy equivalent to the circle S1. We study pairings of some objects in the category of relational structures similar to the multiplication S4 x S4- S4 S4 fails to be order preserving for posets. Nevertheless, applying a single barycentr

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Macfarlane, Andrew Ian. "Reporting structures: Category theory, algebraic and topological properties." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/132394/1/Andrew_Macfarlane_Thesis.pdf.

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This thesis treats the logic of operations and governance of a large corporation as a single abstract mathematical object that expresses the web of dependencies and the coordinating hierarchies of corporate logic. The thesis initiates a study of the logic of high-level descriptions and the evolutionary dynamics of reporting structures. It provides a new way for an enterprise to investigate and characterise its own complex logic.

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Farsangi, Hossein E. "Topological optimisation of double layer grids using genetic algorithm." Thesis, University of Surrey, 2002. http://epubs.surrey.ac.uk/750/.

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FERREIRA, MARCOS DE OLIVEIRA LAGE. "SCALABLE TOPOLOGICAL DATA{STRUCTURES FOR 2 AND 3 MANIFOLDS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2006. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8176@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Pesquisas na área de estrutura de dados são fundamentais para aumentar a generalidade e eficiência computacional da representacão de modelos geometricos. Neste trabalho, apresentamos duas estruturas de dados topológicas escalonáveis, uma para superfícies triânguladas, chamada CHE (Compact Half--Edge), e outra para malhas de tetraedros, chamada CHF (Compact Half--Face). Tais estruturas são compostas de diferentes níveis, que nos possibilitam alterar a quantidade de dados armazenados com objetivo de melhorar sua eficiência

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Books on the topic "Topological structures"

1

Preuss, Gerhard. Theory of Topological Structures. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2859-6.

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Arhangel’skii, Alexander, and Mikhail Tkachenko. Topological Groups and Related Structures. Atlantis Press, 2008. http://dx.doi.org/10.2991/978-94-91216-35-0.

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Rana, Sanjay, ed. Topological Data Structures for Surfaces. John Wiley & Sons, Ltd, 2004. http://dx.doi.org/10.1002/0470020288.

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Seidel, Jan, ed. Topological Structures in Ferroic Materials. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-25301-5.

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Mikhail, Tkachenko, ed. Topological groups and related structures. Atlantis Press, 2008.

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Je, Cho Yeol, and Radu Vioel, eds. On nonsymmetric topological and probabilistic structures. Nova Science Publishers, 2006.

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Baake, Michael, Friedrich Götze, and Werner Hoffmann, eds. Spectral Structures and Topological Methods in Mathematics. European Mathematical Society Publishing House, 2019. http://dx.doi.org/10.4171/197.

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Rodabaugh, Stephen Ernest, and Erich Peter Klement, eds. Topological and Algebraic Structures in Fuzzy Sets. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0231-7.

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Filippov, V. V. Basic Topological Structures of Ordinary Differential Equations. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-0841-8.

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Filippov, V. V. Basic topological structures of ordinary differential equations. Kluwer Academic Publishers, 1998.

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Book chapters on the topic "Topological structures"

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Kubrusly, Carlos S. "Topological Structures." In Elements of Operator Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4757-3328-0_3.

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Pahl, Peter Jan, and Rudolf Damrath. "Topological Structures." In Mathematical Foundations of Computational Engineering. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56893-0_5.

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Bourbaki, Nicolas. "Topological Structures." In General Topology. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-61701-0_3.

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Monastyrsky, Michael. "Topological Structures." In Riemann, Topology, and Physics. Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-0-8176-4779-7_9.

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Kubrusly, Carlos S. "Topological Structures." In The Elements of Operator Theory. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-4998-2_3.

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Monastyrsky, Michael. "Topological Structures." In Riemann, Topology, and Physics. Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4899-3514-4_9.

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Manetti, Marco. "Topological Structures." In UNITEXT. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16958-3_3.

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Manetti, Marco. "Topological Structures." In UNITEXT. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-32142-9_3.

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Polkowski, Lech. "Topological Structures." In Rough Sets. Physica-Verlag HD, 2002. http://dx.doi.org/10.1007/978-3-7908-1776-8_7.

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Schaefer, H. H., and M. P. Wolff. "Order Structures." In Topological Vector Spaces. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1468-7_6.

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Conference papers on the topic "Topological structures"

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Semperlotti, Fabio. "Towards non-Abelian behavior in topological continuous elastic waveguides." In Active and Passive Smart Structures and Integrated Systems XIX, edited by Serife Tol, Mostafa A. Nouh, Jinkyu Yang, et al. SPIE, 2025. https://doi.org/10.1117/12.3055518.

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Gushanskiy, Sergey, Viktor Potapov, and Maxim Polenov. "Quantum Neural Networks: Bridging Topological Structures and Variational Quantum Circuits." In 2025 International Russian Smart Industry Conference (SmartIndustryCon). IEEE, 2025. https://doi.org/10.1109/smartindustrycon65166.2025.10986184.

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Rognes, John. "Topological logarithmic structures." In New topological contexts for Galois theory and algebraic geometry. Mathematical Sciences Publishers, 2009. http://dx.doi.org/10.2140/gtm.2009.16.401.

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GÄHLER, WERNER. "TOPOLOGICAL STRUCTURES IN LOGICS." In Proceedings of the North-West European Category Seminar. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702418_0008.

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Albrecht, Rudolf F. "Systems with topological structures." In The first international conference on computing anticipatory systems. AIP, 1998. http://dx.doi.org/10.1063/1.56317.

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Dorin, Patrick, Xiang Liu, and K. W. Wang. "Tunable Topological Wave Control in a Three-Dimensional Metastable Elastic Metamaterial." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-69410.

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Abstract The concepts of topological insulators in condensed matter physics have been harnessed in elastic metamaterials to obtain quasi-lossless and omnidirectional guiding of elastic waves. Initial studies concerning topological wave propagation in elastic metamaterials focused on localizing waves in 1D or 2D mechanical structures. More recent investigations involving topological metamaterials have uncovered methodologies to achieve unprecedented control of elastic waves in 3D structures. However, a 3D topological metamaterial that can be tuned online to expand functionalities and respond to

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Arikawa, Keisuke. "Classification and Enumeration of Topological Structures of Robotic Mechanisms: Generation of Robotic Mechanisms With Unconventional Topological Structures." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34992.

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This paper discusses the classification and enumeration of topological structures of robotic mechanisms, aiming to develop practical robotic mechanisms with unconventional topological structures. First, we consider the features of topological structures of conventional robotic mechanisms and we point out that almost all of these can be constructed by using only one simple basic unit and two simple connection rules. Then, we present an efficient way to enumerate the topological structures which cannot be constructed from the basic unit and the connection rules, or unconventional topological str

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Kormeier, Thomas, and Stephan Rudolph. "Topological Synthesis of Shell Structures." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99092.

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Currently available tools for classical topology optimization of structures have proven valuable in conceptual design. These tools may provide design direction very early in the design cycle. However, the results subsequently need to be interpreted and translated by an engineer into a consistent CAD-model. This research focuses on the topological design synthesis of shell structures, which is being carried out using a design language approach. The aim of this approach is to automatically generate, modify and optimize an abstract representation of the design. This representation is automaticall

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Klaeui, M. "Dynamics of topological spin structures." In 2015 IEEE International Magnetics Conference (INTERMAG). IEEE, 2015. http://dx.doi.org/10.1109/intmag.2015.7157622.

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Subramania, Ganapathi, and P. Duke Anderson. "Topological photonic structures for nanophotonics." In 2017 19th International Conference on Transparent Optical Networks (ICTON). IEEE, 2017. http://dx.doi.org/10.1109/icton.2017.8024749.

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Reports on the topic "Topological structures"

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Gilbert, Matthew J. Topological Quantum Information Processing Mediated Via Hybrid Topological Insulator Structures. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada606266.

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Baryshnikov, Yuliy. Algebraic-Topological Structures for Hidden Modes. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada540133.

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Bowman, Keith, and Xiaoping Qian. Uncovering Topological Structures in Unstructured Data. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada619112.

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Hobbs, Linn W. Radiation-Induced Topological Disorder in Irradiated Network Structures. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/837474.

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Gilbert, Matthew. Topological Quantum Information Processing Mediated Via Hybrid Topogical Insulator Structures. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada602907.

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Buehler, Markus J. Multi-Scale Hierarchical and Topological Design of Structures for Failure Resistance. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada606678.

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Roy, Dibyendu, C. J. Bolech, and Nayana Shah. Nature of the zero-bias conductance peak associated with Majorana bound states in topological phases of semiconductor-superconductor hybrid structures. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1073055.

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Yan, Yujie, and Jerome F. Hajjar. Automated Damage Assessment and Structural Modeling of Bridges with Visual Sensing Technology. Northeastern University, 2021. http://dx.doi.org/10.17760/d20410114.

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Recent advances in visual sensing technology have gained much attention in the field of bridge inspection and management. Coupled with advanced robotic systems, state-of-the-art visual sensors can be used to obtain accurate documentation of bridges without the need for any special equipment or traffic closure. The captured visual sensor data can be post-processed to gather meaningful information for the bridge structures and hence to support bridge inspection and management. However, state-of-the-practice data postprocessing approaches require substantial manual operations, which can be time-c

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Partner, Heather L., Ramil Nigmatullin, Tobias Burgermeister, et al. Structural phase transitions and topological defects in ion Coulomb crystals. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1164430.

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Tessmer, Stuart. Imaging the electronic and magnetic structure of topological-superconductor proximity systems. Office of Scientific and Technical Information (OSTI), 2023. http://dx.doi.org/10.2172/2006725.

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