| Texto completo | |
| Autor(es): |
Weber, Joa
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 47, n. 2, p. 641-646, JUN 2016. |
| Citações Web of Science: | 1 |
| Resumo | |
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 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. (AU) | |
| Processo FAPESP: | 13/20912-4 - Sistemas dinâmicos hiperbólicos na dimensão infinita |
| Beneficiário: | Joachim Weber |
| Linha de fomento: | Auxílio à Pesquisa - Regular |