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Keywords:
Alexandroff topology; cellularity; functional Alexandroff topological space; infinite anti-orbit number; infinite orbit number
Alexandroff topology; cellularity; functional Alexandroff topological space; infinite anti-orbit number; infinite orbit number
Summary:
In the following text for a discrete finite nonempty set $K$ and a self-map $\varphi : X\to X$ we investigate interaction between different entropies of generalized shift $\mathop{\sigma_\varphi:K^X\to K^X}$, ${(x_\alpha)_{\alpha\in X}\mapsto (x_{\varphi(\alpha)})_{\alpha\in X}}$ and cellularities of some Alexandroff topologies on $X$.
References:
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