Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F24%3AA2502A9A" target="_blank" >RIV/61988987:17610/24:A2502A9A - isvavai.cz</a>

Result on the web

<a href="https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/linked-orbits-of-homeomorphisms-of-the-plane-and-gambaudokolev-theorem/A81702D3AF682475649B326CDD888C58" target="_blank" >https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/linked-orbits-of-homeomorphisms-of-the-plane-and-gambaudokolev-theorem/A81702D3AF682475649B326CDD888C58</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1017/S030500412400015X" target="_blank" >10.1017/S030500412400015X</a>

Result language

angličtina

Original language name

Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem

Original language description

Let h : R 2 → R 2 be an orientation preserving homeomorphism of the plane. For any bounded orbit O(x) = {h n (x) : n ∈ Z} there exists a fixed point x ∈ R 2 of h linked to O(x) in the sense of Gambaudo: one cannot find a Jordan curve C ⊆ R 2 separating O(x) and x , that is isotopic to h(C) in R 2 (O(x) ∪ {x }).

Czech name

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Czech description

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Type

J_imp - 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

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

Mathematical Proceedings of the Cambridge Philosophical Society

ISSN

0305-0041

e-ISSN

1469-8064

Volume of the periodical

—

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

6

Pages from-to

103-108

UT code for WoS article

001316232000001

EID of the result in the Scopus database

2-s2.0-85205097152