Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777731 | Topology and its Applications | 2017 | 10 Pages |
Abstract
In this paper, we mainly discuss the o-tightness in paratopological groups. The following results are obtained: (1) Every paratopological group H satisfying Sm(H)â
get(H)â¤Ï is Gδ-preserving. (2) The o-tightness of the product space XÃH is countable for every Hausdorff feathered paratopological group H and every space X with ot(X)â¤Ï. As an application, we deduce that every Hausdorff feathered paratopological group H has countable o-tightness; in particular, H is a Moscow space, which gives a positive answer to [2, Open problem 6.4.8].
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Li-Hong Xie, Hai-Chan Zhang,