Počet záznamů: 1  

Non-meagre subgroups of reals disjoint with meagre sets

  1. 1. 0488977 - MU-W 2019 RIV NL eng J - Článek v odborném periodiku
    Kostana, Ziemowit
    Non-meagre subgroups of reals disjoint with meagre sets.
    Topology and its Applications. Roč. 241, June (2018), s. 11-19. ISSN 0166-8641
    Institucionální podpora: RVO:67985840
    Klíčová slova: algebraic sum * Baire property * non-meaurable subgroup
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Pure mathematics
    Impakt faktor: 0.549, rok: 2017
    https://www.sciencedirect.com/science/article/pii/S0166864118300567

    Let (X,+) denote (R,+) or (2ω,+2). We prove that for any meagre set F⊆X there exists a subgroup G≤X without the Baire property, disjoint with some translation of F. We point out several consequences of this fact and indicate why analogous result for the measure cannot be established in ZFC. We extend proof techniques from [1].
    Trvalý link: http://hdl.handle.net/11104/0283475
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