Bull. Korean Math. Soc. 2018; 55(4): 1125-1135
Online first article March 8, 2018 Printed July 31, 2018
https://doi.org/10.4134/BKMS.b170622
Copyright © The Korean Mathematical Society.
Huoyun Wang
Guangzhou University
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.
Keywords: semigroup action, thickly syndetic set, $M$-systems, sensitivity
MSC numbers: Primary 37B20, 37B05, 54H20
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