Relevant bibliographies by topics / Topological triviality at infinity

Contents

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

Academic literature on the topic 'Topological triviality at infinity'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Topological triviality at infinity"

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SORKIN, RAFAEL D., and SUMATI SURYA. "AN ANALYSIS OF THE REPRESENTATIONS OF THE MAPPING CLASS GROUP OF A MULTIGEON THREE-MANIFOLD." International Journal of Modern Physics A 13, no. 21 (1998): 3749–90. http://dx.doi.org/10.1142/s0217751x98001761.

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It is known that the distinct unitary irreducible representations (UIR's) of the mapping class group G of a three-manifold ℳ give rise to distinct quantum sectors ("θ sectors") in quantum theories of gravity based on a product space–time of the form ℝ×ℳ. In this paper, we study the UIR's of G in an effort to understand the physical implications of these quantum sectors. The mapping class group of a three-manifold which is the connected sum of ℝ3 with a finite number of irreducible primes is a semidirect product group. Following Mackey's theory of induced representations, we provide an analysis
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Osińska-Ulrych, Beata, Tomasz Rodak, Grzegorz Skalski, and Stanisław Spodzieja. "Topological triviality of deformations of regular mappings." Bulletin des Sciences Mathématiques 161 (July 2020): 102870. http://dx.doi.org/10.1016/j.bulsci.2020.102870.

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Mucuk, Osman, and İlhan İçen. "Extendibility, monodromy, and local triviality for topological groupoids." International Journal of Mathematics and Mathematical Sciences 27, no. 3 (2001): 131–40. http://dx.doi.org/10.1155/s0161171201010894.

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A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all maps of groupoid structure are continuous. The notion of monodromy groupoid of a topological groupoid generalizes those of fundamental groupoid and universal cover. It was earlier proved that the monodromy groupoid of a locally sectionable topological groupoid has the structure of a topological groupoid satisfying some properties. In this paper a similar problem is studied for compatible locally trivial topological
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RUAS, M. A. S., та O. N. SILVA. "Whitney equisingularity of families of surfaces in ℂ3". Mathematical Proceedings of the Cambridge Philosophical Society 166, № 2 (2018): 353–69. http://dx.doi.org/10.1017/s0305004117000883.

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AbstractIn this paper, we study families of singular surfaces in ℂ3 parametrised by $\mathcal {A}$-finitely determined map germs. We consider the topological triviality and Whitney equisingularity of an unfolding F of a finitely determined map germ f : (ℂ2, 0) → (ℂ3, 0). We investigate the following question: topological triviality implies Whitney equisingularity of the unfolding F? We provide a complete answer to this question, by giving counterexamples showing how the conjecture can be false.
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Fernandes, A., C. Humberto Soares, and R. Dos Santos. "Topological Triviality of Family of Functions and Sets." Rocky Mountain Journal of Mathematics 36, no. 4 (2006): 1235–47. http://dx.doi.org/10.1216/rmjm/1181069414.

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Buchner, Michael A., and Wojciech Kucharz. "Topological triviality of a family of zero-sets." Proceedings of the American Mathematical Society 102, no. 3 (1988): 699. http://dx.doi.org/10.1090/s0002-9939-1988-0929006-5.

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Ruas, Maria Aparecida Soares, and João Nivaldo Tomazella. "Topological triviality of families of functions on analytic varieties." Nagoya Mathematical Journal 175 (2004): 39–50. http://dx.doi.org/10.1017/s0027763000008886.

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AbstractWe present in this paper sufficient conditions for the topological triviality of families of germs of functions defined on an analytic variety V. The main result is an infinitesimal criterion based on a convenient weighted inequality, similar to that introduced by T. Fukui and L. Paunescu in [8]. When V is a weighted homogeneous variety, we obtain as a corollary, the topological triviality of deformations by terms of non negative weights of a weighted homogeneous germ consistent with V. Application of the results to deformations of Newton non-degenerate germs with respect to a given va
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Santos, Raimundo Nonato Araújo Dos. "Topological triviality of families of real isolated singularities and their Milnor fibrations." MATHEMATICA SCANDINAVICA 96, no. 1 (2005): 96. http://dx.doi.org/10.7146/math.scand.a-14946.

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Eyral, Christophe, and Maria Aparecida Soares Ruas. "Topological triviality of linear deformations with constant Lê numbers." Kodai Mathematical Journal 39, no. 1 (2016): 189–201. http://dx.doi.org/10.2996/kmj/1458651699.

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Kim, Hee Jung, and Daniel Ruberman. "Topological triviality of smoothly knotted surfaces in $4$-manifolds." Transactions of the American Mathematical Society 360, no. 11 (2008): 5869–81. http://dx.doi.org/10.1090/s0002-9947-08-04482-6.

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Dissertations / Theses on the topic "Topological triviality at infinity"

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Oliveira, Laís da Silva. "Singularidades analíticas reais e complexas." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-08012014-092941/.

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Neste projeto apresentamos algumas direções de pesquisa desenvolvidas no estudo da geometria/topologia da singularidade, no ambiente real e complexo, para funções e aplicações polinomiais. Para isso, utilizaremos as ferramentas da teoria de estratificação, técnicas de decomposição Open book, condições de regularidade no sentido Malgrange, t-regularidade, \'rho\'E-regularidade e trivialidade topológica no infinito<br>On this project we present some research lines developed in the study of the geometry/ topology of singularity, on the real and complex settings, for functions and polynomial mappi
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Silva, Gabriela Castro Vieira da. "Trivialidade topológica em germes de hipersuperfícies e poliedros de Newton." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092006-181011/.

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Uma das questões mais importantes em Teoria de Singularidades é a determinação de condições que garantam a trivialidade topológica em famílias de germes de funções ou aplicações. Neste trabalho é feito um estudo a fim de descrever condições necessárias e suficientes para a trivialidade topológica em famílias de germes de funções com singularidade isolada. Para isto, são apresentados dois métodos. O primeiro é o de campos de vetores controlados, baseado nos trabalhos de Damon-Gaffney e Yoshinaga. O segundo relaciona invariantes associados às famílias de germes de funções com a trivialidade topo
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Soares, Liane Mendes Feitosa. ""Trivialidade topológica de germes pré quase homogêneos"." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-09112003-215657/.

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Neste trabalho utilizamos a tecnica da construcao de campos de vetores controlados para obter estimativas para a $mathcal{A}$-trivialidade topologica de familias de aplicacoes analiticas $g_lambda:(mathbb{C}^n,0) ightarrow(mathbb{C}^p,0)$, $g_lambda(x)=g(x)+lambda h(x)$. Estas estimativas foram obtidas com a fixacao de filtracoes em $mathcal{O}_n$ e $mathcal{O}_p$ definidas a partir de um poliedro de Newton e com o germe $g$ satisfazendo propriedades sobre o espaco tangente a orbita. Alem disto, foi feito um estudo sobre a trivialidade topologica de germes do plano no plano. Para isto, for
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Norling, Magnus Dahler. "Topological Dynamics and Algebra in the Spectrum of L infinity of a locally compact Group : With Application to Crossed Products." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9889.

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<p>In this text, I will look at some new approaches that may shed some light on the Kadison Singer problem, mainly one instigated by Vern Paulsen using dynamical systems in the Stone-Cech compactification of a discrete group. In order to do this, I will try to develop the theory in a crossed product setting, and look at some aspects of it that may hold interest of their own.</p>
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Martins, Rodrigo. "Topologia e singularidades das superfícies regradas em \' R POT.3\"." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-26042007-151119/.

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Neste trabalho estudamos a topologia local, trivialidade topolóogica e as singularidades de superfícies regradas em \'R POT.3\'. O objetivo do trabalho é comparar as singularidades que ocorrem no conjunto das superfícies regradas com as singularidades de germes de aplicações de \'R POT.2\' em \'R POT.3\', fazer a classificação topológica local e estudar a trivialidade topológica de famílias de superfícies regradas. Finalmente, discutimos possíveis generalizações de superfícies regradas para altas dimensões<br>We study the local topology, topological triviality and singularities of ruled surfac
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Silva, Otoniel Nogueira da. "Superfícies com singularidades não isoladas." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-10052017-085440/.

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Neste trabalho, estudamos famílias de curvas genericamente reduzidas. Estendemos para o caso genericamente reduzido alguns resultados conhecidos para famílias de curvas reduzidas como a equivalência entre a Whitney equisingularidade e a resolução simultânea forte da família e a equivalência entre a Whitney equisingularidade e a constância do número de Milnor e da multiplicidade de cada curva Xt da família. Estudamos também a equisingularidade topológica e a Whitney equisingularidade de famílias de superfícies em C3 parametrizadas por germes de aplicações A-finitamente determinados. Em ([51]),
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Books on the topic "Topological triviality at infinity"

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Damon, James. Topological triviality and versality for subgroups of A and K. American Mathematical Society, 1988.

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Sancho de Salas, Juan B., 1957-, ed. C [infinity]-differentiable spaces. Springer, 2003.

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González, Juan B. Navarro, and Juan B. Sancho de Salas. C^\infinity - Differentiable Spaces (Lecture Notes in Mathematics). Springer, 2004.

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Hewitt, Edwin, and Kenneth A. Ross. Abstract Harmonic Analysis: Volume 1: Structure of Topological Groups, Integration Theory, Group Representations (Grundlehren Der Mathematischen Wissenschaften). 2nd ed. Springer, 1987.

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Book chapters on the topic "Topological triviality at infinity"

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Bergmann, Peter G. "Gravitation at Spatial Infinity." In Topological Properties and Global Structure of Space-Time. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4899-3626-4_2.

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Chruściel, Piotr. "Boundary Conditions at Spatial Infinity." In Topological Properties and Global Structure of Space-Time. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4899-3626-4_5.

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Helemskii, A. Ya. "From topological homology: algebras with different properties of homological triviality." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0084713.

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Ioffe, A., and E. Schwartzman. "Convexity at Infinity and Palais-Smale Conditions. Application to Hamiltonian Systems." In Variational and Topological Methods in the Study of Nonlinear Phenomena. Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0081-9_3.

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Tabor, M. "Stretching and Alignment in General Flow Fields: Classical Trajectories from Reynolds Number Zero to Infinity." In Topological Aspects of the Dynamics of Fluids and Plasmas. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-017-3550-6_4.

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Crasta, Graziano, and Ilaria Fragalà. "1. Geometric issues in PDE problems related to the infinity Laplace operator." In Topological Optimization and Optimal Transport, edited by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Guillaume Carlier, Thierry Champion, and Filippo Santambrogio. De Gruyter, 2017. http://dx.doi.org/10.1515/9783110430417-001.

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Waldhausen, Friedhelm, Bjørn Jahren, and John Rognes. "The stable parametrized h-cobordism theorem." In Spaces of PL Manifolds and Categories of Simple Maps (AM-186). Princeton University Press, 2013. http://dx.doi.org/10.23943/princeton/9780691157757.003.0002.

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This chapter deals with the stable parametrized h-cobordism theorem. It begins with a discussion of the manifold part; here DIFF is written for the category of Csuperscript infinity smooth manifolds, PL for the category of piecewise-linear manifolds, and TOP for the category of topological manifolds. CAT is generically written for any one of these geometric categories. Relevant terms such as stabilization map, simple map, pullback map, PL Serre fibrations, weak homotopy equivalence, PL Whitehead space, and cofibration are also defined. The chapter proceeds by describing the non-manifold part, the algebraic K-theory of spaces, and the relevance of simple maps to the study of PL homeomorphisms of manifolds.
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Conference papers on the topic "Topological triviality at infinity"

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Abrahão, Felipe S., Klaus Wehmuth, and Artur Ziviani. "Expected Emergent Algorithmic Creativity and Integration in Dynamic Complex Networks." In III Encontro de Teoria da Computação. Sociedade Brasileira de Computação - SBC, 2018. http://dx.doi.org/10.5753/etc.2018.3152.

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We present a theoretical investigation of the emergence of complexity or irreducible information in networked computable systems when the network topology may change over time. For this purpose, we build a network model in which nodes are randomly generated Turing machines that obey a communication protocol of imitation of the fittest neighbor. Then, we show that there are topological conditions that trigger a phase transition in which eventually these networked computable systems begin to produce an unlimited amount of bits of expected emergent algorithmic complexity, creativity and integrati
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