# Index filtrations and Morse decompositions for discrete dynamical systems

Annales Polonici Mathematici (1999)

- Volume: 72, Issue: 1, page 51-70
- ISSN: 0066-2216

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topBartłomiejczyk, P., and Dzedzej, Z.. "Index filtrations and Morse decompositions for discrete dynamical systems." Annales Polonici Mathematici 72.1 (1999): 51-70. <http://eudml.org/doc/262787>.

@article{Bartłomiejczyk1999,

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.},

author = {Bartłomiejczyk, P., Dzedzej, Z.},

journal = {Annales Polonici Mathematici},

keywords = {Conley index; index filtration; Morse decomposition; connection matrix; index filtrations; index triple},

language = {eng},

number = {1},

pages = {51-70},

title = {Index filtrations and Morse decompositions for discrete dynamical systems},

url = {http://eudml.org/doc/262787},

volume = {72},

year = {1999},

}

TY - JOUR

AU - Bartłomiejczyk, P.

AU - Dzedzej, Z.

TI - Index filtrations and Morse decompositions for discrete dynamical systems

JO - Annales Polonici Mathematici

PY - 1999

VL - 72

IS - 1

SP - 51

EP - 70

AB - 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.

LA - eng

KW - Conley index; index filtration; Morse decomposition; connection matrix; index filtrations; index triple

UR - http://eudml.org/doc/262787

ER -

## References

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