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A Sternbach-type fixed point problem for maps induced on hyperspaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA2101O4M" target="_blank" >RIV/61988987:17610/20:A2101O4M - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0166864120302479" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0166864120302479</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.topol.2020.107304" target="_blank" >10.1016/j.topol.2020.107304</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Sternbach-type fixed point problem for maps induced on hyperspaces

  • Original language description

    We show that for any map f on an arc-like continuum X, the induced map on the hyperspace of subcontinua fixes a point in any -invariant subcontinuum of . This extends a result of Robatian, who proved it for the arc. However, as we show, the result does not extend to tree-like continua. We conclude with a list of related problems. Our proof builds on Hamilton's proof of the fixed point property of arc-like continua.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    TOPOL APPL

  • ISSN

    0166-8641

  • e-ISSN

  • Volume of the periodical

    2020

  • Issue of the periodical within the volume

    282

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    1-7

  • UT code for WoS article

    000589892900024

  • EID of the result in the Scopus database

    2-s2.0-85087038765