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On a certain generalization of W-spaces

  1. 1.
    0481511 - MÚ 2018 RIV NL eng J - Článek v odborném periodiku
    Doležal, Martin - Moors, W. B.
    On a certain generalization of W-spaces.
    Topology and its Applications. Roč. 231, 1 November (2017), s. 1-9. ISSN 0166-8641
    Grant CEP: GA ČR(CZ) GA17-27844S
    GRANT EU: European Commission(XE) 318910 - AOS
    Institucionální podpora: RVO:67985840
    Klíčová slova: topological games * Baire spaces * semitopological groups * separate continuity
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Pure mathematics
    Impakt faktor: 0.549, rok: 2017
    http://www.sciencedirect.com/science/article/pii/S0166864117304406?via%3Dihub

    We present a simple generalization of W-spaces introduced by G. Gruenhage. We show that this generalization leads to a strictly larger class of topological spaces which we call W-spaces, and we provide several applications. Namely, we use the notion of W-spaces to provide sufficient conditions for the product of two spaces to be a Baire space, for a semitopological group to be a topological group, or for a separately continuous function to be continuous at the points of a certain large set.
    Trvalý link: http://hdl.handle.net/11104/0277052
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