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|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 , 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 . Dynamical thickening leads to a conceptually simple and short proof. © 2016 Juliusz Schauder Centre for Nonlinear Studies.|
|Editor:||Juliusz Schauder Center for Nonlinear Studies|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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