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A zero topological entropy map with recurrent points not $Fsb sigma$

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F03%3A00000128" target="_blank" >RIV/47813059:19610/03:00000128 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A zero topological entropy map with recurrent points not $Fsb sigma$

  • Original language description

    We show that there is a continuous map of the interval of type $2^infty$ for which the set of recurrent points is not an $F_sigma$ set. We provide also another application of this map. The full version of the result can be found in P. Šindelářová, A zero topological entropy map with recurrent points not $F_sigma$, Proc. Amer. Math. Soc 131 (2003), 2089-2096.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2003

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Real Analysis Exchange 26th Summer Symposium Conference suppl.

  • ISBN

  • ISSN

  • e-ISSN

  • Number of pages

    2

  • Pages from-to

    113-11

  • Publisher name

    Washington and Lee university Lexington

  • Place of publication

    Michigan

  • Event location

    Lexington

  • Event date

    Jun 25, 2002

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article