| Autor: |
Gierzkiewicz, Anna, Wójcik, Klaudiusz |
| Jazyk: |
angličtina |
| Rok vydání: |
2008 |
| Předmět: |
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| Zdroj: |
Topol. Methods Nonlinear Anal. 32, no. 2 (2008), 313-326 |
| Popis: |
We give a sufficient condition for the existence of an isolating block $B$ for an isolated invariant set $S$ such that the inclusion induced map in cohomology $H^* (B)\to H^*(S)$ is an isomorphism. We discuss the Easton's result concerning the special case of flows on a $3$-manifold. We prove that if $S$ is an isolated invariant set for a flow on a $3$-manifold and $S$ is of finite type, then each isolating neighbourhood of $S$ contains an isolating block $B$ such that $B$ and $B^-$ are manifolds with boundary and the inclusion induced map in cohomology is an isomorphism. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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