The Conley index and countable decompositions of invariant sets
Volume 47 / 1999
Banach Center Publications 47 (1999), 91-108
DOI: 10.4064/-47-1-91-108
Abstract
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.
