Topological entropy for set valued maps

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F10%3A%230000283" target="_blank" >RIV/47813059:19610/10:#0000283 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Topological entropy for set valued maps

Original language description

Any continuous map T on a compact metric space X induces in a natural way a continuous map (T) over bar on the space K(X) of all non-empty compact subsets of X. Let T be a homeomorphism on the interval or on the circle. It is proved that the topologicalentropy of the induced set valued map (T) over bar is zero or infinity. Moreover, the topological entropy of (T) over bar vertical bar(C(X)) is zero, where C(X) denotes the space of all non-empty compact and connected subsets of X. For general continuousmaps on compact metric spaces these results are not valid.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Nonlinear Analysis: Theory, Methods & Applications

ISSN

0362-546X

e-ISSN

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Volume of the periodical

73

Issue of the periodical within the volume

6

Country of publishing house

GB - UNITED KINGDOM

Number of pages

5

Pages from-to

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UT code for WoS article

000280220200007

EID of the result in the Scopus database

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