On a certain generalization of W-spaces

0481511 - MÚ 2018 RIV NL eng J - Journal Article
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. E-ISSN 1879-3207
R&D Projects: GA ČR(CZ) GA17-27844S
EU Projects: European Commission(XE) 318910 - AOS
Institutional support: RVO:67985840
Keywords : topological games * Baire spaces * semitopological groups * separate continuity
OECD category: Pure mathematics
Impact factor: 0.549, year: 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.
Permanent Link: http://hdl.handle.net/11104/0277052