Autor: |
Ewerton R. Vieira, Ketty A. de Rezende, Robert D. Franzosa |
Rok vydání: |
2016 |
Předmět: |
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Zdroj: |
Topol. Methods Nonlinear Anal. 48, no. 1 (2016), 183-212 |
ISSN: |
1230-3429 |
DOI: |
10.12775/tmna.2016.046 |
Popis: |
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. |
Databáze: |
OpenAIRE |
Externí odkaz: |
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