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

Title & Authors
SPECTRAL DECOMPOSITION OF k-TYPE NONWANDERING SETS FOR ℤ2-ACTIONS
Kim, Daejung; Lee, Seunghee;

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 $\small{B_1,{\ldots},B_l}$ such that $\small{T|B_i}$ is topologically k-type transitive for each \$i
Keywords
spectral decomposition theorem;k-type nonwandering sets;expansive;shadowing property;
Language
English
Cited by
1.
Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems, Journal of Difference Equations and Applications, 2016, 22, 5, 676
2.
On collective sensitivity for -actions, Dynamical Systems, 2016, 31, 2, 221
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