Entropies of self-mappings of topological spaces with richer structures
Katětov, Miroslav
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 747-768 / Harvested from Czech Digital Mathematics Library
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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 $f\,:\, S\rightarrow S$.

Publié le : 1993-01-01
Classification:  54C70,  54E17 
@article{118631,
     author = {Miroslav Kat\v etov},
     title = {Entropies of self-mappings of topological spaces with richer structures},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {747-768},
     zbl = {0839.54022},
     mrnumber = {1263803},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118631}
}

Katětov, Miroslav. Entropies of self-mappings of topological spaces with richer structures. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 747-768. http://gdmltest.u-ga.fr/item/118631/

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