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Abstract
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.
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- Category:
- Magazine publication
- Type:
- Magazine publication
- Published in:
-
Annales Polonici Mathematici
no. 72,
pages 51 - 70,
ISSN: 0066-2216 - Publication year:
- 1999
- Verified by:
- No verification
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