Index filtrations and Morse decompositions for discrete dynamical systems
Bartłomiejczyk, P. ; Dzedzej, Z.
Annales Polonici Mathematici, Tome 72 (1999), p. 51-70 / Harvested from The Polish Digital Mathematics Library
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On a Morse decomposition of an isolated invariant set of a homeomorphism (discrete dynamical system) there are partial orderings defined by the homeomorphism. These are called admissible orderings of the Morse decomposition. We prove the existence of index filtrations for admissible total orderings of a Morse decomposition and introduce the connection matrix in this case.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:262787 
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Bartłomiejczyk, P.; Dzedzej, Z. Index filtrations and Morse decompositions for discrete dynamical systems. Annales Polonici Mathematici, Tome 72 (1999) pp. 51-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z1p51bwm/

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