Relevant bibliographies by topics / Differential topology

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Differential topology'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Differential topology"

1

Blackmore, Denis, and Yuriy Mileyko. "Computational differential topology." Applied General Topology 8, no. 1 (2007): 35. http://dx.doi.org/10.4995/agt.2007.1909.

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Shifrin, Theodore, and David B. Gauld. "Differential Topology: An Introduction." American Mathematical Monthly 92, no. 4 (1985): 294. http://dx.doi.org/10.2307/2323664.

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Borzellino, Joseph E., and Victor Brunsden. "Elementary orbifold differential topology." Topology and its Applications 159, no. 17 (2012): 3583–89. http://dx.doi.org/10.1016/j.topol.2012.08.032.

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Mathai, Varghese, and Guo Chuan Thiang. "Differential Topology of Semimetals." Communications in Mathematical Physics 355, no. 2 (2017): 561–602. http://dx.doi.org/10.1007/s00220-017-2965-z.

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Lazopoulos, Konstantinos A. "On Λ-Fractional Differential Equations". Foundations 2, № 3 (2022): 726–45. http://dx.doi.org/10.3390/foundations2030050.

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Λ-fractional differential equations are discussed since they exhibit non-locality and accuracy. Fractional derivatives form fractional differential equations, considered as describing better various physical phenomena. Nevertheless, fractional derivatives fail to satisfy the prerequisites of differential topology for generating differentials. Hence, all the sources of generating fractional differential equations, such as fractional differential geometry, the fractional calculus of variations, and the fractional field theory, are not mathematically accurate. Nevertheless, the Λ-fractional deriv
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Kaminker, Jerome. "$C^ *$-algebras and differential topology." Bulletin of the American Mathematical Society 12, no. 1 (1985): 125–28. http://dx.doi.org/10.1090/s0273-0979-1985-15312-1.

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Jonckheere, Edmond A., Farooq Ahmad, and Eugene Gutkin. "Differential topology of numerical range." Linear Algebra and its Applications 279, no. 1-3 (1998): 227–54. http://dx.doi.org/10.1016/s0024-3795(98)00021-4.

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Anderson, Laura. "TOPOLOGY OF COMBINATORIAL DIFFERENTIAL MANIFOLDS." Topology 38, no. 1 (1999): 197–221. http://dx.doi.org/10.1016/s0040-9383(98)00011-1.

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LIU, QINGMIN, SURAJIT SUTAR, and ALAN SEABAUGH. "TUNNEL DIODE/TRANSISTOR DIFFERENTIAL COMPARATOR." International Journal of High Speed Electronics and Systems 14, no. 03 (2004): 640–45. http://dx.doi.org/10.1142/s0129156404002600.

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A new tunnel diode/transistor circuit topology is reported, which both increases speed and reduces power in differential comparators. This circuit topology is of special interest for use in direct digital synthesis applications. The circuit topology can be extended to provide performance improvements in high speed logic and signal processing applications. The circuits are designed based on InP/GaAsSb double heterojunction bipolar transistors and AlAs/InGaAs/AlAs resonant tunneling diodes. A self-aligned and scalable fabrication approach using nitride sidewalls and chemical mechanical polishing
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Giblin, Peter, Y. G. Borisovich, N. M. Bliznyakov, T. N. Fomenko, and Y. A. Izrailevich. "Introduction to Differential and Algebraic Topology." Mathematical Gazette 81, no. 490 (1997): 170. http://dx.doi.org/10.2307/3618819.

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Dissertations / Theses on the topic "Differential topology"

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Anderson, Laura Marie. "Topology of combinatorial differential manifolds." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/28093.

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Cox, Anna Lee. "A categorization of piecewise-linear surfaces." Virtual Press, 1994. http://liblink.bsu.edu/uhtbin/catkey/902464.

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Any Piecewise-Linear (PL) surface can be formed from a regular polygon (including the interior) with an even number of edges, where the edges are identified in pairs to form a two-dimensional manifold. The resulting surfaces can be distinguished by algebraic means. An analysis of the construction algorithm can also be used to determine the resulting surface. Knowledge of the polygon used can also yield information about the surfaces formed.In this thesis, an algorithm is developed that will analyze all possible edge pairings for an arbitrary regular polygon. The combination of this data, along
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Vetere, Elmiro [Verfasser], Annette [Akademischer Betreuer] Huber, and Stefan [Akademischer Betreuer] Kebekus. "Cohomological descent for logarithmic differential forms in the log etale topology." Freiburg : Universität, 2018. http://d-nb.info/1182894941/34.

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Walsh, Mark. "Metrics of positive scalar curvature and generalised Morse functions /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2009. http://hdl.handle.net/1794/10265.

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Sperança, Llohann Dallagnol 1986. "Fenomenos exoticos em geometria e topologia." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306815.

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Orientador: Carlos Eduardo Duran Fernandez<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-14T00:21:52Z (GMT). No. of bitstreams: 1 Speranca_LlohamDallagnol_M.pdf: 1442574 bytes, checksum: eec573204734790dd464f4ba0a79d6c5 (MD5) Previous issue date: 2009<br>Resumo: Apresentaremos neste trabalho alguns dos modelos clássicos em geometria e topologia diferencial para algumas variedades diferenciáveis com o mesmo tipo homotópico de uma esfera. Em seguida apresentaremos construções ma
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Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 4: Pseudodifferential operators." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2658/.

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Contents: Chapter 4: Pseudodifferential Operators 4.1. Preliminary Remarks 4.1.1. Why are pseudodifferential operators needed? 4.1.2. What is a pseudodifferential operator? 4.1.3. What properties should the pseudodifferential calculus possess? 4.2. Classical Pseudodifferential Operators on Smooth Manifolds 4.2.1. Definition of pseudodifferential operators on a manifold 4.2.2. Hörmander’s definition of pseudodifferential operators 4.2.3. Basic properties of pseudodifferential operators 4.3. Pseudodifferential Operators in Sections of Hilbert Bundles 4.3.1. Hilbert bundles 4.3.2. Operator-va
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Perlmutter, Nathan. "Linking Forms, Singularities, and Homological Stability for Diffeomorphism Groups of Odd Dimensional Manifolds." Thesis, University of Oregon, 2015. http://hdl.handle.net/1794/19241.

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Let n > 1. We prove a homological stability theorem for the diffeomorphism groups of (4n+1)-dimensional manifolds, with respect to forming the connected sum with (2n-1)-connected, (4n+1)-dimensional manifolds that are stably parallelizable. Our techniques involve the study of the action of the diffeomorphism group of a manifold M on the linking form associated to the homology groups of M. In order to study this action we construct a geometric model for the linking form using the intersections of embedded and immersed Z/k-manifolds. In addition to our main homological sta
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Tang, Shouchun (Terry), and University of Lethbridge Faculty of Arts and Science. "A rapid method for approximating invariant manifolds of differential equations." Thesis, Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2006, 2006. http://hdl.handle.net/10133/356.

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The Intrinsic Low-Dimensional Manifold (ILDM) has been adopted as an approximation to the slow manifold representing the long-term evolution of a non-linear chemical system. The computation of the slow manifold simplifies the model without sacrificing accuracy because the trajectories are rapidly attracted to it. The ILDM has been shown to be a highly accurate approximation to the manifold when the curvature of the manifold is not too large. An efficient method of calculating an approximation to the slow manifold which may be equivalent to the ILDM is presented. This method, called Functional
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Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 5: Manifolds with isolated singularities." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2665/.

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Contents: Chapter 5: Manifolds with Isolated Singularities 5.1. Differential Operators and the Geometry of Singularities 5.1.1. How do isolated singularities arise? Examples 5.1.2. Definition and methods for the description of manifolds with isolated singularities 5.1.3. Bundles. The cotangent bundle 5.2. Asymptotics of Solutions, Function Spaces,Conormal Symbols 5.2.1. Conical singularities 5.2.2. Cuspidal singularities 5.3. A Universal Representation of Degenerate Operators and the Finiteness Theorem 5.3.1. The cylindrical representation 5.3.2. Continuity and compactness 5.3.3. Elliptic
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Ankele, Michael Peter [Verfasser]. "Higher-Order Tensors and Differential Topology in Diffusion MRI Modeling and Visualization / Michael Peter Ankele." Bonn : Universitäts- und Landesbibliothek Bonn, 2019. http://d-nb.info/1188731769/34.

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Books on the topic "Differential topology"

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Koschorke, Ulrich, ed. Differential Topology. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0081464.

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Villani, Vinicio, ed. Differential Topology. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11102-0.

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Mukherjee, Amiya. Differential Topology. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19045-7.

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1946-, Pollack Alan, ed. Differential topology. AMS Chelsea Pub., 2010.

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Margalef-Roig, J. Differential topology. North-Holland, 1992.

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service), SpringerLink (Online, ed. Differential Topology. Springer-Verlag Berlin Heidelberg, 2011.

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1908-, Pontri͡agin L. S., ed. Algebraic and differential topology. Gordon and Breach Science Publishers, 1986.

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Jiang, Boju, Chia-Kuei Peng, and Zixin Hou, eds. Differential Geometry and Topology. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0087524.

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Pontryagin, L. S. Algebraic and differential topology. Gordon and Breach Science Publishers, 1986.

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Gauld, David B. Differential topology: An introduction. Dover Publications, 2006.

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Book chapters on the topic "Differential topology"

1

Jongeneel, Wouter, and Emmanuel Moulay. "Differential Topology." In SpringerBriefs in Electrical and Computer Engineering. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30133-9_3.

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AbstractIn this chapter we discuss differentiable structures on topological manifolds. In particular, we discuss transversality, tubular neighbourhoods, index theory, the degree and the theorems by Poincaré and Hopf and Bobylev and Krasnosel’skiĭ.
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Haefliger, André. "Differential Cohomology." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_3.

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Banyaga, A. "On the Group of Diffeomorphis Preserving an Exact Symplectic Form." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_1.

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Fredricks, Gregory A. "Some Remarks on Cauchy-Riemann Structures." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_2.

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Mather, John N. "On the Homology of Haefliger's Classifying Space." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_4.

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Michor, Peter. "Manifolds of differentiable maps." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_5.

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Poenaru, V. "Some Remarks on Low-Dimensional Topology and Immersion Theory." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_6.

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Sergeraert, F. "La Classe De Cobordisme Des Feuilletages De Reeb De S3 Est Nulle." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_7.

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Wallet, Guy. "Invariant De Godbillon-Vey Et Diffeomorphismes Commutants." In Differential Topology. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11102-0_8.

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Mukherjee, Amiya. "Basic Concepts of Manifolds." In Differential Topology. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19045-7_1.

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Conference papers on the topic "Differential topology"

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Libermann, Paulette. "Charles Ehresmann's concepts in differential geometry." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-2.

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Verstraelen, Leopold, and Alan West. "Geometry and Topology of Submanifolds, III." In Leeds Differential Geometry Workshop 1990. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814540124.

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Caddeo, R., and F. Tricerri. "DIFFERENTIAL GEOMETRY AND TOPOLOGY." In Proceedings of the Workshop. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814535779.

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Izumiya, Shyuichi, and Masatomo Takahashi. "Caustics and wave front propagations: applications to differential geometry." In Geometry and topology of caustics. Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc82-0-9.

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Dillen, Franki, and Leopold Verstraelen. "Geometry and Topology of Submanifolds IV." In Conference on Differential Geometry and Vision. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537346.

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Peikert, Martin. "Examples of Weyl Geometries in Affine Differential Geometry." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0021.

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Janeczko, Stanisław, and Fernand Pelletier. "Singularities of implicit differential systems and maximum principle." In Geometry and Topology of Caustics – Caustics '02. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc62-0-8.

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Dillen, F., B. Komrakov, U. Simon, I. Van de Woestyne, and L. Verstraelen. "Geometry and topology of submanifolds VIII." In International meetings on Pure and Applied Differential Geometry. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814530873.

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Cheng, Qing-Ming. "Topology and geometry of complete submanifolds in euclidean spaces." In PDEs, Submanifolds and Affine Differential Geometry. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc69-0-3.

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Dillen, Franki, Leopold Verstraelen, Luc Vrancken, and Ignace Van de Woestijne. "Geometry and Topology of Submanifolds, V." In Conferences on Differential Geometry and Vision & Theory of Submanifolds. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814535205.

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Reports on the topic "Differential topology"

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Wilson, D. C. Applications of Differential Topology to Grid Generation. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada162834.

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