THICKLY SYNDETIC SENSITIVITY OF SEMIGROUP ACTIONS

THICKLY SYNDETIC SENSITIVITY OF SEMIGROUP ACTIONS

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-sensit...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2018, Vol.55 (4), p.1125-1135
1. Verfasser: Wang, Huoyun
Format: Artikel
Sprache:kor
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Zusammenfassung: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.
ISSN:1015-8634