Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3276
Abstract
In this paper, we obtain the classification of topological dynamical systems with a discrete action. The equicontinuity and sensitivity for amenable discrete countable semigroup action are shown by the left Følner sequence. We consider the notion of uniquely ergodic and mean equicontinuous on amenable discrete countable semigroup action and develop the notion of density with respect to the Følner sequence on equicontinuous and sensitivity.
Keywords
Measure-preserving dynamical system, semigroup action, equicontinuity, sensitivity, amenable semigroup, Følner sequence, density
First Page
2394
Last Page
2414
Recommended Citation
KARAM, NADER ASADI; TOOTKABONI, MOHAMMAD KBARI; and SAHLEH, ABBAS
(2022)
"Equicontinuity and sensitivity on countable amenable semigroup,"
Turkish Journal of Mathematics: Vol. 46:
No.
6, Article 24.
https://doi.org/10.55730/1300-0098.3276
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss6/24
