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|Title:||Generalized Topological Transition Matrix|
Robert; de Rezende
Ketty A.; Vieira
|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.|
|Editor:||Juliusz Schauder CTR Nonlinear Studies|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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