dc.creatorWeber J.
dc.date2016
dc.date2017-08-17T19:13:17Z
dc.date2017-08-17T19:13:17Z
dc.date.accessioned2018-03-29T05:19:38Z
dc.date.available2018-03-29T05:19:38Z
dc.identifierTopological Methods In Nonlinear Analysis. Juliusz Schauder Center For Nonlinear Studies, v. 47, n. 2, p. 641 - 646, 2016.
dc.identifier1230-3429
dc.identifier10.12775/TMNA.2016.020
dc.identifierhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84978708727&doi=10.12775%2fTMNA.2016.020&partnerID=40&md5=7bf1ab2d536d408c7106739e10af4a3d
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/323308
dc.identifier2-s2.0-84978708727
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1357471
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionWe introduce two tools, dynamical thickening and flow selectors, to overcome the infamous discontinuity of the gradient flow endpoint map near non-degenerate critical points. More precisely, we interpret the stable fibrations of certain Conley pairs (N;L), established in [2], as a dynamical thickening of the stable manifold. As a first application and to illustrate effciency of the concept we reprove a fundamental theorem of classical Morse theory, Milnor's homotopical cell attachment theorem [1]. Dynamical thickening leads to a conceptually simple and short proof. © 2016 Juliusz Schauder Centre for Nonlinear Studies.
dc.description47
dc.description2
dc.description641
dc.description646
dc.descriptionCNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description1135/2013, FAEPEX, Fundo de Apoio ao Ensino, à Pesquisa e Extensão
dc.description2013/20912-4, FAPESP, Fundação de Amparo à Pesquisa do Estado de São Paulo
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageEnglish
dc.publisherJuliusz Schauder Center for Nonlinear Studies
dc.relationTopological Methods in Nonlinear Analysis
dc.rightsfechado
dc.sourceScopus
dc.subjectFiow Selector
dc.subjectHomotopy Type
dc.subjectMorse Theory
dc.titleClassical Morse Theory Revisited – I Backward λ-lemma And Homotopy Type
dc.typeArtículos de revistas


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