On a certain generalization of $W$-spaces
General Topology
2017-09-01 v2
Abstract
We present a simple generalization of -spaces introduced by G. Gruenhage. We show that this generalization leads to a strictly larger class of topological spaces which we call -spaces, and we provide several applications. Namely, we use the notion of -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.
Cite
@article{arxiv.1705.04037,
title = {On a certain generalization of $W$-spaces},
author = {Martin Doležal and Warren B. Moors},
journal= {arXiv preprint arXiv:1705.04037},
year = {2017}
}