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The Conley index and countable decompositions of invariant sets

Marian Gidea (1999)

Banach Center Publications

We define a new cohomological index of Conley type associated to any bi-infinite sequence of neighborhoods that satisfies a certain isolation condition. We use this index to study the chaotic dynamics on invariant sets which decompose as countable unions of pairwise disjoint (mod 0) compact pieces.

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