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arXiv · 1712.01105

On generalized shift transformation semigroups

Fatemah Ayatollah Zadeh Shirazi·Fatemeh Ebrahimifar
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Abstract

In the following text we prove that for finite discrete $X$ with at least two elements and infinite $\Gamma$, the generalized shift transformation semigroup $({\mathcal S},X^\Gamma)$ is equicontinuous (resp. has at least an equicontinuous point, is not sensitive) if and only if for all $w\in\Gamma$, $\{\varphi(w):\sigma_\varphi\in{\mathcal S}\}$ is finite. We continue our study regarding distality and expansivity of $({\mathcal S},X^\Gamma)$.

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Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar. 2017-11-29. On generalized shift transformation semigroups. https://arxiv.org/abs/1712.01105

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