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Type: Artigo de periódico
Title: Classical Morse Theory Revisited – I Backward λ-lemma And Homotopy Type
Abstract: We 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.
Editor: Juliusz Schauder Center for Nonlinear Studies
Rights: fechado
Identifier DOI: 10.12775/TMNA.2016.020
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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