Counterexamples to Sharkovsky's conjectures concerning maps with zero topological entropy

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000101" target="_blank" >RIV/47813059:19610/02:00000101 - 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

Counterexamples to Sharkovsky's conjectures concerning maps with zero topological entropy

Original language description

In a series of paper s and books we find that for any f in C(I,I), the properties "the topological entropy is zero" and "Per (f) is a G_delta set" are equivalent. We can show that this statement is false. This disproves a conjecture by Sharkovsky from1965.

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

<a href="/en/project/GA201%2F00%2F0859" target="_blank" >GA201/00/0859: Dynamical systems</a><br>

Continuities

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

Publication year

2002

Confidentiality

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

Name of the periodical

Real Analysis Exchange

ISSN

ISSN0147-1937

e-ISSN

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Volume of the periodical

27

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

4

Pages from-to

47-50

UT code for WoS article

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EID of the result in the Scopus database

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