• Title/Summary/Keyword: thickly syndetic set

Search Result 1, Processing Time 0.014 seconds

THICKLY SYNDETIC SENSITIVITY OF SEMIGROUP ACTIONS

  • Wang, Huoyun
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.4
    • /
    • pp.1125-1135
    • /
    • 2018
  • 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.