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Internal descriptions of absolute Borel classes

  1. 1. 0106834 - MU-W 20040041 RIV NL eng J - Journal Article
    Holický, P. - Pelant, Jan
    Internal descriptions of absolute Borel classes.
    [Vnitřní popis absolutních Borelovských tříd.]
    Topology and its Applications. Roč. 141, č. 1 (2004), s. 87-104. ISSN 0166-8641
    R&D Projects: GA ČR GA201/00/1466; GA ČR GA201/03/0933
    Institutional research plan: CEZ:AV0Z1019905
    Keywords : absolute Borel class * complete sequence of covers * open map
    Subject RIV: BA - General Mathematics
    Impact factor: 0.364, year: 2004

    We present internal descriptions of spaces of absolute Borel classes with respect to Tychonoff spaces. Complete sequences of covers is the basic tool for this description. We apple the same technique to a hierarchy of absolute classes of scattered-Borel sets, covering thus the case of a hierarchy of extended Borel sets in nonseparable metrizable spaces which was introduced and studied.

    Je podán vnitřní popis prostorů absolutních Borelovských tříd vzhledem k Tychonoffovým prostorům. Základní myšlenkou je prožití úplných posloupností pokrytí.
    Permanent Link: http://hdl.handle.net/11104/0014008
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