Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658459 | Topology and its Applications | 2014 | 9 Pages |
Abstract
In this paper, the remainders of semitopological and paratopological groups are investigated. We mainly establish that if G is a non-locally compact semitopological group and bG is a compactification of G such that Y=bGâG has locally a point-countable base, then bG is separable and metrizable. This gives a positive answer to a question posed in Wang and He (2014) [25]. We also show that if G is a non-locally compact R1-factorizable paratopological group and Y=bGâG is a local âµ-space, then bG is separable and metrizable. Some questions in [14] are answered.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Li-Hong Xie, Piyu Li, Shou Lin,