Fatemah Ayatollah Zadeh Shirazi, Sahar Karimzadeh Dolatabad, Sara Shamloo
Interaction between cellularity of Alexandroff spaces and entropy of generalized shift maps

Comment.Math.Univ.Carolin. 57,3 (2016) 397-410.

Abstract: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 $X$.

Keywords: Alexandroff topology; cellularity; functional Alexandroff topological space; infinite anti-orbit number; infinite orbit number

DOI: DOI 10.14712/1213-7243.2015.174
AMS Subject Classification: 54C70

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