Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/327402
Type: Artigo
Title: Generalized Topological Transition Matrix
Generalized topological transition matrix
Author: Franzosa, R.
Rezende, K. A. de
Vieira, E. R.
Abstract: This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general transition matrix satisfies the additional requirement that it covers flow-defined Conley-index isomorphisms, one proves algebraic and connection-existence properties. These general transition matrices with this covering property are referred to as generalized topological transition matrices and are used to consider connecting orbits of Morse-Smale flows without periodic orbits, as well as those in a continuation associated to a dynamical spectral sequence.
This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general trans
Subject: Conley Index
Connection Matrices
Transition Matrices
Morse-smale System
Sweeping Method
Spectral Sequence
Sequências espectrais (Matemática)
Morse, Teoria de
Conley, Índice de
Matriz de conexão
Country: Polónia
Editor: Universidade Nicolau Copérnico
Citation: Topological Methods In Nonlinear Analysis. Juliusz Schauder Ctr Nonlinear Studies, v. 48, p. 183 - 212, 2016.
Rights: fechado
fechado
Identifier DOI: 10.12775/TMNA.2016.046
Address: https://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2016.046
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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