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.
Citation
Robert Franzosa. Ketty A. de Rezende. Ewerton R. Vieira. "Generalized topological transition matrix." Topol. Methods Nonlinear Anal. 48 (1) 183 - 212, 2016. https://doi.org/10.12775/TMNA.2016.046
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