Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/329399
Type: Artigo
Title: A Global Two-dimensional Version Of Smale's Cancellation Theorem Via Spectral Sequences
A global two-dimensional version of smale's cancellation theorem via spectral sequences
Author: Bertolim, M. A.
Lima, D. V. S.
Mello, M. P.
Rezende, K. A de
Silveira, M. R. da
Abstract: In this article, Conley's connection matrix theory and a spectral sequence analysis of a filtered Morse chain complex (C, Delta) are used to study global continuation results for flows on surfaces. The briefly described unfoldings of Lyapunov graphs have been proved to be a well-suited combinatorial tool to keep track of continuations. The novelty herein is a global dynamical cancellation theorem inferred from the differentials of the spectral sequence (E-r, d(r)). The local version of this theorem relates differentials dr of the r th page E-r to Smale's theorem on cancellation of critical points.
In this article, Conley's connection matrix theory and a spectral sequence analysis of a filtered Morse chain complex (C, Delta) are used to study global continuation results for flows on surfaces. The briefly described unfoldings of Lyapunov graphs have
Subject: Isolating Blocks;lyapunov Graphs;morse Flows;continuation;manifolds
Blocos isolantes
Lyapunov, Grafos de
Variedades (Matemática)
Métodos de continuação
Sequências espectrais (Matemática)
Country: Reino Unido
Editor: Cambridge University Press
Citation: Ergodic Theory And Dynamical Systems . Cambridge Univ Press, v. 36, p. 1795 - 1838, 2016.
Rights: fechado
fechado
Identifier DOI: 10.1017/etds.2014.142
Address: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/global-twodimensional-version-of-smales-cancellation-theorem-via-spectral-sequences/A41991D3E0892F2956620FA02C2BC95D
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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