Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777716 | Topology and its Applications | 2017 | 9 Pages |
Abstract
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 WË-spaces, and we provide several applications. Namely, we use the notion of WË-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Martin Doležal, Warren B. Moors,