The Conley index on compact ANR's is of finite type (Q756760)
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scientific article; zbMATH DE number 4192638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Conley index on compact ANR's is of finite type |
scientific article; zbMATH DE number 4192638 |
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The Conley index on compact ANR's is of finite type (English)
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1990
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The cohomological Conley index of a flow was defined by \textit{C. Conley} and then extended to semiflows by \textit{K. Rybakowski}. In the paper under review it is shown that the Conley index of an isolated invariant set of a homeomorphism in a compact metric ANR is of finite type; and that the Conley index of isolated invariant set of a flow coincides with the index of isolated invariant sets of its discrete dynamical subsystems. This implies that the Conley index of a flow on a compact metric ANR is of finite type.
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cohomological Conley index
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flow
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compact metric ANR
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