For a dynamical system {S_t} on a metric space X, we examine the question whether the topological properties of X are inherited by the global attractor A (if it exists). When {S_t} is jointly continuous, we prove that the Čech-Alexander-Spanier cohomology groups of A are isomorphic to the corresponding cohomology groups of X. The same conclusion is obtained in the case where {S_t} is a group and A has a bounded neighborhood which is a deformation retract of X.
Autori interni: | |
Autori: | GOBBINO M |
Titolo: | Topological properties of attractors for dynamical systems |
Anno del prodotto: | 2001 |
Digital Object Identifier (DOI): | 10.1016/S0040-9383(99)00061-0 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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