Geodesic
Entropies of self-mappings of topological spaces with richer structures
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 747-768.

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For mappings $f\,:\, S\rightarrow S$, where $S$ is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the $\delta $-entropy. The topological entropy and the entropy of self-mappings of metric spaces are shown to be special cases of the $\delta $-entropy. Some connections with other characteristics of self-mappings are considered. We also introduce and examine an entropy for subsets of $S^N$, which is closely connected with the $\delta $-entropy of $f\,:\, S\rightarrow S$.
Classification : 54C70, 54E17
Keywords: entropy; merotopic space; self-mapping; diameter function 
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     author = {Kat\v{e}tov, Miroslav},
     title = {Entropies of self-mappings of topological spaces with richer structures},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {747--768},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a12/}
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Katětov, Miroslav. Entropies of self-mappings of topological spaces with richer structures. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 747-768. http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a12/