On recurrence and entropy in the hyperspace of continua in dimension one

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402NG1" target="_blank" >RIV/61988987:17610/23:A2402NG1 - isvavai.cz</a>
Result on the web
<a href="https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/fundamenta-mathematicae/all/263/1/115119/on-recurrence-and-entropy-in-hyperspace-of-continua-in-dimension-one" target="_blank" >https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/fundamenta-mathematicae/all/263/1/115119/on-recurrence-and-entropy-in-hyperspace-of-continua-in-dimension-one</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/fm235-4-2023" target="_blank" >10.4064/fm235-4-2023</a>

Result language
angličtina
Original language name
On recurrence and entropy in the hyperspace of continua in dimension one
Original language description
We show that if G is a topological graph, and f:G→G is a continuous map, then the induced map f˜ defined on the hyperspace C(G) of all connected subsets of G by the natural formula f˜(C)=f(C) carries the same entropy as f. It is well known that this does not hold on the larger hyperspace of all compact subsets. Also negative examples were given for the hyperspace C(X) on some continua X, including dendrites.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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