Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THICKLY SYNDETIC SENSITIVITY OF SEMIGROUP ACTIONS

  • Wang, Huoyun (Department of Mathematics Guangzhou University)
  • Received : 2017.07.15
  • Accepted : 2017.11.22
  • Published : 2018.07.31
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Abstract

We show that for an M-action on a compact Hausdorff uniform space, if it has at least two disjoint compact invariant subsets, then it is thickly syndetically sensitive. Additionally, we point out that for a P-M-action of a discrete abelian group on a compact Hausdorff uniform space, the multi-sensitivity is equivalent to both thick sensitivity and thickly syndetic sensitivity.

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References

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