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.
@article{bwmeta1.element.bwnjournal-article-bcpv47i1p91bwm,
author = {Gidea, Marian},
title = {The Conley index and countable decompositions of invariant sets},
journal = {Banach Center Publications},
volume = {50},
year = {1999},
pages = {91-108},
zbl = {0946.37013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p91bwm}
}
Gidea, Marian. The Conley index and countable decompositions of invariant sets. Banach Center Publications, Tome 50 (1999) pp. 91-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p91bwm/
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