Relevant bibliographies by topics / Lusternik–Schnirelmann category

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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 'Lusternik–Schnirelmann category'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 April 2022

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Journal articles on the topic "Lusternik–Schnirelmann category"

1

Fernández-Ternero, Desamparados, Enrique Macías-Virgós, Erica Minuz, and José Antonio Vilches. "Simplicial Lusternik-Schnirelmann category." Publicacions Matemàtiques 63 (January 1, 2019): 265–93. http://dx.doi.org/10.5565/publmat6311909.

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BORAT, Ayşe, and Tane VERGİLİ. "Digital Lusternik–Schnirelmann category." TURKISH JOURNAL OF MATHEMATICS 42, no. 4 (2018): 1845–52. http://dx.doi.org/10.3906/mat-1801-94.

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Ayala, R., and A. Quintero. "On the Ganea strong category in proper homotopy." Proceedings of the Edinburgh Mathematical Society 41, no. 2 (1998): 247–63. http://dx.doi.org/10.1017/s0013091500019623.

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This paper contains some basic relations between Ganea strong category and Lusternik Schnirelmann category in proper homotopy theory. We focus our interest on the case of category 2 in order to show that ℚn is the unique open n-manifold with proper Lusternik-Schnirelmann category 2 (n ≠ 3).
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Felix, Yves, Steve Halperin, and Jean-Claude Thomas. "Lusternik–Schnirelmann category of skeleta." Topology and its Applications 125, no. 2 (2002): 357–61. http://dx.doi.org/10.1016/s0166-8641(01)00288-7.

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Singh, Harpreet. "Lusternik-Schnirelmann category and cobordism." Proceedings of the American Mathematical Society 102, no. 1 (1988): 183. http://dx.doi.org/10.1090/s0002-9939-1988-0915741-1.

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ZAPATA, CESAR A. IPANAQUE. "CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE." Bulletin of the Australian Mathematical Society 100, no. 3 (2019): 507–17. http://dx.doi.org/10.1017/s0004972719000479.

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The Lusternik–Schnirelmann category cat and topological complexity TC are related homotopy invariants. The topological complexity TC has applications to the robot motion planning problem. We calculate the Lusternik–Schnirelmann category and topological complexity of the ordered configuration space of two distinct points in the product $G\times \mathbb{R}^{n}$ and apply the results to the planar and spatial motion of two rigid bodies in $\mathbb{R}^{2}$ and $\mathbb{R}^{3}$ respectively.
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Montejano, L. "Lusternik-Schnirelmann category: a geometric approach." Banach Center Publications 18, no. 1 (1986): 117–29. http://dx.doi.org/10.4064/-18-1-117-129.

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Iwase, Norio. "A∞-method in Lusternik–Schnirelmann category." Topology 41, no. 4 (2002): 695–723. http://dx.doi.org/10.1016/s0040-9383(00)00045-8.

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Vandembroucq, Lucile. "Fibrewise suspension and Lusternik–Schnirelmann category." Topology 41, no. 6 (2002): 1239–58. http://dx.doi.org/10.1016/s0040-9383(02)00007-1.

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Gatsinzi, J. B. "Lusternik-Schnirelmann category of classifying spaces." Bulletin of the Belgian Mathematical Society - Simon Stevin 8, no. 3 (2001): 405–9. http://dx.doi.org/10.36045/bbms/1102714567.

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Dissertations / Theses on the topic "Lusternik–Schnirelmann category"

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Shaw, Edmund. "Equivariant Lusternik-Schnirelmann category." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302894.

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Fass'so, Velenik Agnese. "Relative homotopy invariants of the type of the Lusternik-Schnirelmann category." [S.l.] : [s.n.], 2003. http://www.diss.fu-berlin.de/2003/277/index.html.

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Alsulami, Samirah Hameed Break. "Homotopy types of topological groupoids and Lusternik-Schnirelmann category of topological stacks." Thesis, University of Leicester, 2016. http://hdl.handle.net/2381/38094.

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The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. The idea behind it is a small category in which every arrow is invertible. This notion of groupoid can be thought of as a generalisation of the notion of a group. Namely, a group is a groupoid with only one object. After the introduction of topological and differentiable groupoids by Ehresmann in 1950 in his paper on connections [19], the concept has been widely studied by many mathematicians in many areas of topology, geometry and physics. In this thesis, we deal with topological groupoids as the
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Toupin, Curtis. "On Iwase's Construction of a Counterexample to Ganea's Conjecture." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/36946.

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In 1971, Ganea put forth a conjecture that the LS category of the Cartesian product of a topological space X with a sphere Sn is always exactly 1 higher than the LS category of X by itself. Several special cases of this conjecture were proven in the years following, however the question remained open until 1998 when Iwase produced not just one, but infinitely many counterexamples. In this thesis, we study the methods implemented by Iwase, culminating in the construction of his counterexample.
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Paradis, Philippe. "On the Rational Retraction Index." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23111.

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If X is a simply connected CW complex, then it has a unique (up to isomorphism) minimal Sullivan model. There is an important rational homotopy invariant, called the rational Lusternik–Schnirelmann of X, denoted cat0(X), which has an algebraic formulation in terms of the minimal Sullivan model of X. We study another such numerical invariant called the rational retraction index of X, denoted r0(X), which is defined in terms of the minimal Sullivan model of X and satisfies 0 ≤ r0(X) ≤ cat0(X). It was introduced by Cuvilliez et al. as a tool to estimate the rational Lusternik–Schnirelmann categor
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SANTOS, José Luando de Brito. "Multiplicidade de soluções para equações de Schrödinger com campo magnético externo." Universidade Federal de Campina Grande, 2016. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1407.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-11T13:44:35Z No. of bitstreams: 1 JOSÉ LUANDO DE BRITO SANTOS - DISSERTAÇÃO PPGMAT 2016..pdf: 1753037 bytes, checksum: 170adb7876570629bb31d8deea91ce71 (MD5)<br>Made available in DSpace on 2018-08-11T13:44:35Z (GMT). No. of bitstreams: 1 JOSÉ LUANDO DE BRITO SANTOS - DISSERTAÇÃO PPGMAT 2016..pdf: 1753037 bytes, checksum: 170adb7876570629bb31d8deea91ce71 (MD5) Previous issue date: 2016-03<br>CNPq<br>Neste trabalho, estudamos a existência e multiplicidade de soluções não triviais para uma classe de equações de Schrödinger
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MELO, Jéssyca Lange Ferreira. "Multiplicidade de soluções para uma classe de problemas críticos via categoria de Lusternik-Schnireman." Universidade Federal de Campina Grande, 2010. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1224.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T13:50:44Z No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5)<br>Made available in DSpace on 2018-07-24T13:50:44Z (GMT). No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5) Previous issue date: 2010-02<br>CNPq<br>Para visualizar o resumo recomendamos do download do arquivo uma vez que o mesmo utiliza formulas ou equações matemáticas que n
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Melo, Jéssyca Lange Ferreira. "Sobre a multiplicidade de soluções positivas para uma classe de problemas elípticos de quarta-ordem via categoria de Lusternik-Schnirelman." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-23092014-165650/.

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Neste trabalho estudamos a existência e a multiplicidade de soluções clássicas positivas para uma classe de problemas de quarta-ordem sob a condição de fronteira de Navier, relacionando o número de soluções com a topologia do domínio, mais precisamente, com sua categoria de Lusternik-Schnirelman. Introduzimos também uma noção de regiões crítica e não-crítica associadas a um de nossos problemas, a fim de garantir condições para existência de solução<br>In this work we study the existence and multiplicity of positive classical solutions for a class of fourth-order problems under Navier boundary
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Prazeres, Disson Soares dos. "Multiplicidade de Soluções para Problemas Elípticos Semilineares Envolvendo o Expoente Crítico de Sobolev." Universidade Federal da Paraí­ba, 2010. http://tede.biblioteca.ufpb.br:8080/handle/tede/7464.

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Made available in DSpace on 2015-05-15T11:46:26Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 549935 bytes, checksum: f7562c326b5af177cb80a71a184aa0c9 (MD5) Previous issue date: 2010-08-04<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>In this dissertation, we study the multiplicity of solutions for the following class of semilinear elliptic problems involving the critical Sobolev exponent, ---u = - juj2---2 u + f (x; u) ; x 2 e u = 0; x 2 @ ; where N - 3, - RN is a smooth and bounded domain, - is a positive real parameter and 2- = 2N= (N - 2) is the critical Sobolev exp
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Silva, Ailton Rodrigues da. "Existência, multiplicidade e concentração de soluções positivas para uma classe de problemas quasilineares em espaços de Orlicz-Sobolev." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9258.

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Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-15T12:49:10Z No. of bitstreams: 1 arquivototal.pdf: 1323834 bytes, checksum: 530efbd6b56f11c5cc1b4369c8c44888 (MD5)<br>Made available in DSpace on 2017-08-15T12:49:10Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1323834 bytes, checksum: 530efbd6b56f11c5cc1b4369c8c44888 (MD5) Previous issue date: 2016-02-29<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work we establish existence, multiplicity and concentration of positive solutions for the following class of problem 8<: 􀀀d
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Books on the topic "Lusternik–Schnirelmann category"

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Cornea, O., G. Lupton, J. Oprea, and D. Tanré, eds. Lusternik-Schnirelmann Category and Related Topics. American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/316.

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Jessup, Barry. Rational Lusternik-Schnirelmann category and a conjecture of Ganea. [s.n.], 1987.

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AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium (2001 Mount Holyoke College). Lusternik-Schnirelmann category and related topics: 2001 AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium, July 29-August 2, 2001, Mount Holyoke College, South Hadley, Massachusetts. Edited by Cornea O. 1966-. American Mathematical Society, 2002.

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1966-, Cornea O., ed. Lusternik-Schnirelmann category. American Mathematical Society, 2003.

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Jessup, Barry John. Rational Lusternik-Schnirelmann category and a conjecture of Ganea. 1987.

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Lusternik-Schnirelmann Category and Related Topics: 2001 Ams-Ims-Siam Joint Summer Research Conference on Lusternik-Schnierlmann Category in the New Millennium, ... Mount Holyoke (Contemporary Mathematics). American Mathematical Society, 2002.

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Book chapters on the topic "Lusternik–Schnirelmann category"

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "Lusternik-Schnirelmann category." In Graduate Texts in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_28.

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Montejano, Luis. "Geometric category and Lusternik-Schnirelmann category." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0081427.

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Lemaire, Jean-Michel. "Lusternik — Schnirelmann category: An introduction." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075466.

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Scheerer, Hans, and Daniel Tanré. "Kaleidoscoping Lusternik-Schnirelmann category type invariants." In Cohomological Methods in Homotopy Theory. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8312-2_24.

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Alsulami, Samirah, Hellen Colman, and Frank Neumann. "The Lusternik-Schnirelmann Category for a Differentiable Stack." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46310-0_1.

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James, I. M. "Lusternik–Schnirelmann Category." In Handbook of Algebraic Topology. Elsevier, 1995. http://dx.doi.org/10.1016/b978-044481779-2/50028-6.

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"Lusternik-Schnirelmann category." In Rational Homotopy Theory II. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814651448_0009.

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Rudyak, Yu B. "On Schwarz genus, Lusternik-Schnirelmann category, and topological complexity." In TBILISI - MATHEMATICS. Sciendo, 2021. http://dx.doi.org/10.2478/9788366675476-003.

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"Borsuk-Ulam theorems, the Lusternik-Schnirelmann category and index theories." In World Congress of Nonlinear Analysts '92. De Gruyter, 1996. http://dx.doi.org/10.1515/9783110883237.2135.

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Conference papers on the topic "Lusternik–Schnirelmann category"

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LANGEVIN, REMI, and PAWEŁ G. WALCZAK. "TRANSVERSE LUSTERNIK-SCHNIRELMANN CATEGORY AND NON-PROPER LEAVES." In Proceedings of the Euroworkshop. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778246_0017.

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Mimura, Mamoru, and Kei Sugata. "On the Lusternik–Schnirelmann category of symmetric spaces of classical type." In Groups, homotopy and configuration spaces, in honour of Fred Cohen's 60th birthday. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.13.323.

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Reports on the topic "Lusternik–Schnirelmann category"

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Oprea, John Oprea. Aspects of Lusternik-Schnirelmann Category. GIQ, 2015. http://dx.doi.org/10.7546/giq-16-2015-13-35.

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Oprea, John. Applications of Lusternik-Schnirelmann Category and its Generalizations. Jgsp, 2014. http://dx.doi.org/10.7546/jgsp-36-2014-59-97.

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