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SPECTRAL DECOMPOSITION OF k-TYPE NONWANDERING SETS FOR Z2-ACTIONS

이승희|김대정
대한수학회 (The Korean Mathematical Society)|2014.03|대한수학회보 (Bulletin of the KMS)|제51권 제2호|pp. 387-400

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참고문헌

키워드

spectral decomposition theoremk-type nonwandering setsex- pansiveshadowing property.
주제분류수학

초록

We prove that the set of k-type nonwandering points of a Z2-action T can be decomposed into a disjoint union of closed and T- invariant sets B1, . . . ,Bl such that T|Bi is topologically k-type transitive for each i = 1, 2, . . . , l, if T is expansive and has the shadowing property.

Abstract

We prove that the set of k-type nonwandering points of a Z2-action T can be decomposed into a disjoint union of closed and T- invariant sets B1, . . . ,Bl such that T|Bi is topologically k-type transitive for each i = 1, 2, . . . , l, if T is expansive and has the shadowing property.

참고문헌 (12)

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  12. P. Walters, "On the pseudo-orbit tracing property and its relationship to stability, The structure of attractors in dynamical systems (Proc. Conf., North Dakota State Univ., Fargo, N.D., 1997)", Lecture Notes in Math, 668, pp.231~244 (1978), Springer

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