Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390806" target="_blank" >RIV/00216208:11320/18:10390806 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s11784-018-0552-3" target="_blank" >https://doi.org/10.1007/s11784-018-0552-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11784-018-0552-3" target="_blank" >10.1007/s11784-018-0552-3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point

Popis výsledku v původním jazyce

We are dealing with the question whether every group or semigroup action (with some additional property) on a continuum (with some additional property) has a fixed point. One of such results was given in 2009 by Shi and Sun. They proved that every nilpotent group action on a uniquely arcwise connected continuum has a fixed point. We are seeking for this type of results with, e.g., commutative, compact, or torsion groups and semigroups acting on dendrites, dendroids, -dendroids and uniquely arcwise connected continua. We prove that every continuous action of a compact or torsion group on a uniquely arcwise connected continuum has a fixed point. We also prove that every continuous action of a compact and commutative semigroup on a uniquely arcwise connected continuum or on a tree-like continuum has a fixed point.

Název v anglickém jazyce

Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point

Popis výsledku anglicky

We are dealing with the question whether every group or semigroup action (with some additional property) on a continuum (with some additional property) has a fixed point. One of such results was given in 2009 by Shi and Sun. They proved that every nilpotent group action on a uniquely arcwise connected continuum has a fixed point. We are seeking for this type of results with, e.g., commutative, compact, or torsion groups and semigroups acting on dendrites, dendroids, -dendroids and uniquely arcwise connected continua. We prove that every continuous action of a compact or torsion group on a uniquely arcwise connected continuum has a fixed point. We also prove that every continuous action of a compact and commutative semigroup on a uniquely arcwise connected continuum or on a tree-like continuum has a fixed point.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GJ17-04197Y" target="_blank" >GJ17-04197Y: Dynamické systémy a Banachovy prostory</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Journal of Fixed Point Theory and Applications

ISSN

1661-7738

e-ISSN

—

Svazek periodika

20

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

9

Strana od-do

—

Kód UT WoS článku

000434684300020

EID výsledku v databázi Scopus

2-s2.0-85045530466