Generalized topological transition matrix

Autor: Ewerton R. Vieira, Ketty A. de Rezende, Robert D. Franzosa
Rok vydání: 2016
Předmět:
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