Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777901 | Topology and its Applications | 2017 | 8 Pages |
Abstract
In this paper, we mainly prove that if G is a saturated paratopological group with we(G)â¤Îº, where κ is an infinite cardinal, then G is κ-narrow. It gives a partial answer to the problem posed by Sánchez in [10, Problem 2.24] and even more. Applying this property, we show that if G is a saturated Hausdorff paratopological group with we(G)ÏÏ(G)â¤Ï, then G can be condensed onto a Hausdorff space with a countable base. Also, we construct a Hausdorff paratopological group with countable Ï-character, but it is not Ï-balanced. This gives a negative answer to the problem posed by Sánchez in [9, Problem 2.13].
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Li-Hong Sheng, Wei-Xue Shi,