• Title/Summary/Keyword: k-type nonwandering sets

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

  • Kim, Daejung;Lee, Seunghee
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.387-400
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    • 2014
  • 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 $B_1,{\ldots},B_l$ such that $T|B_i$ is topologically k-type transitive for each $i=1,2,{\ldots},l$, if T is expansive and has the shadowing property.