Interaction between cellularity of Alexandroff spaces and entropy of generalized shift maps

Commentationes mathematicae Universitatis Carolinae

Fatemah Ayatollah Zadeh Shirazi¹ 

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

DOI  :  10.14712/1213-7243.2015.174

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

In the following text for a discrete finite nonempty set $K$ and a self-map $\varphiX\to X$ we investigate interaction between different entropies of generalized shift $\mathop{\sigma_\varphiK^X\to K^X}$, ${(x_\alpha)_{\alpha\in X}\mapsto (x_{\varphi(\alpha)})_{\alpha\in X}}$ and cellularities of some Alexandroff topologies on $X$.

【 授权许可】

CC BY