Index filtrations and Morse decompositions for discrete dynamical systems

• Autorzy: P. Bartłomiejczyk , Z. Dzedzej
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Conley index; index filtration; Morse decomposition; connection matrix

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 72
• Numer: 1
• Strony: 51-70

Daty

wydano

1999

otrzymano

1998-06-22

poprawiono

1999-03-24

Twórcy

autor

P. Bartłomiejczyk

• Institute of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Z. Dzedzej

• Institute of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

Bibliografia

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• [Ri] D. Richeson, Connection matrix pairs for the discrete Conley index, ibid., to appear.
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