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On a certain generalization of W-spaces
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SYSNO ASEP 0481511 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On a certain generalization of W-spaces Author(s) Doležal, Martin (MU-W) RID, SAI, ORCID
Moors, W. B. (NZ)Source Title Topology and its Applications. - : Elsevier - ISSN 0166-8641
Roč. 231, 1 November (2017), s. 1-9Number of pages 9 s. Language eng - English Country NL - Netherlands Keywords topological games ; Baire spaces ; semitopological groups ; separate continuity Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA17-27844S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000413889100001 EID SCOPUS 85032904513 DOI 10.1016/j.topol.2017.09.001 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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