Geodesic
Entropies of self-mappings of topological spaces with richer structures
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 747-768 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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 $f\,:\, S\rightarrow S$.
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 
@article{CMUC_1993_34_4_a12,
     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},
     year = {1993},
     volume = {34},
     number = {4},
     mrnumber = {1263803},
     zbl = {0839.54022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a12/}
}
TY  - JOUR
AU  - Katětov, Miroslav
TI  - Entropies of self-mappings of topological spaces with richer structures
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1993
SP  - 747
EP  - 768
VL  - 34
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a12/
LA  - en
ID  - CMUC_1993_34_4_a12
ER  - 
%0 Journal Article
%A Katětov, Miroslav
%T Entropies of self-mappings of topological spaces with richer structures
%J Commentationes Mathematicae Universitatis Carolinae
%D 1993
%P 747-768
%V 34
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a12/
%G en
%F CMUC_1993_34_4_a12
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/