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Canonizing certain Borel equivalences for Silver forcing

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    0384238 - MU-W 2013 RIV NL eng J - Článek v odborném periodiku
    Doucha, Michal
    Canonizing certain Borel equivalences for Silver forcing.
    Topology and its Applications. Roč. 159, č. 13 (2012), s. 2973-2979. ISSN 0166-8641.
    [Prague Symposium on General Topology and its Relations to Modern Analysis and Algebra /11./. Prague, 07.08.2011-12.08.2011]
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Borel equivalence relations * silver ideal * canonical Ramsey theorem
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.562, rok: 2012
    http://www.sciencedirect.com/science/article/pii/S0166864112002180#

    Following the recent research of J. Zapletal we study Borel equivalence relations with connection to the Silver forcing. We prove that l(P) relations and generally equivalence relations given by F-sigma P-ideals can be canonized to the full equivalence relation or to a subset of E-0. Next we classify a certain subclass of subequivalences of E-0 on the Silver forcing and find perfectly many mutually different subequivalences of E-0 with respect to the Silver forcing.
    Trvalý link: http://hdl.handle.net/11104/0213948
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