dc.creatorWeber
dc.creatorJoa
dc.date2016
dc.datejun
dc.date2017-11-13T13:15:43Z
dc.date2017-11-13T13:15:43Z
dc.date.accessioned2018-03-29T05:53:08Z
dc.date.available2018-03-29T05:53:08Z
dc.identifierTopological Methods In Nonlinear Analysis. Juliusz Schauder Ctr Nonlinear Studies, v. 47, p. 641 - 646, 2016.
dc.identifier1230-3429
dc.identifierWOS:000379367000012
dc.identifier10.12775/TMNA.2016.020
dc.identifierhttp://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2016.020
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/327401
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1364426
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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 efficiency 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.
dc.description47
dc.description2
dc.description641
dc.description646
dc.descriptionFAPESP [2013/20912-4]
dc.descriptionFAEPEX [1135/2013]
dc.descriptionCNPq, Conselho Nacional de Desenvolvimento Cientifico e Tecnologico - Brasil
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageEnglish
dc.publisherJuliusz Schauder CTR Nonlinear Studies
dc.publisherTorun
dc.relationTopological Methods in Nonlinear Analysis
dc.rightsfechado
dc.sourceWOS
dc.subjectMorse Theory
dc.subjectHomotopy Type
dc.subjectFlow Selector
dc.titleClassical Morse Theory Revisited - I Backward Lambda-lemma And Homotopy Type
dc.typeArtículos de revistas


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