On the transitive and $omega$-limit points of the continuous mappings of the circle

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000123" target="_blank" >RIV/47813059:19610/02:00000123 - 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

On the transitive and $omega$-limit points of the continuous mappings of the circle

Original language description

We extend the recent results from the class $mathcal{C}(I,I)$ of continuous maps of the interval to the class $mathcal{C}(mathbb{S},mathbb{S})$ of continuous maps of the circle. Among others, we give a characterization of $omega$-limit sets and givea characterization of sets of transitive points for these maps.

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

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

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

Name of the periodical

Archivum Mathematicum (Brno)

ISSN

ISSN0044-8753

e-ISSN

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Volume of the periodical

38

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

4

Pages from-to

49-5

UT code for WoS article

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EID of the result in the Scopus database

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