Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/323308
Type: Artigo
Title: Classical Morse Theory Revisited – I Backward λ-lemma And Homotopy Type
Author: Weber J.
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.
Subject: Fiow Selector
Homotopy Type
Morse Theory
Editor: Juliusz Schauder Center for Nonlinear Studies
Rights: fechado
Identifier DOI: 10.12775/TMNA.2016.020
Address: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978708727&doi=10.12775%2fTMNA.2016.020&partnerID=40&md5=7bf1ab2d536d408c7106739e10af4a3d
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.