o-Tightnessin paratopological groups

被引：0
|
作者：
Xie, Li-Hong [1 ]
Zhang, Hai-Chan [1 ]
机构：
[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2017年 / 231卷
关键词：
o-Tightness; Paratopological groups; Moscow spaces; G(delta)-Tightness; PRODUCTS;
D O I：
10.1016/j.topol.2017.08.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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) . get(H) <= w is G(delta)-preserving. (2) The o-tightness of the product space X x H is countable for every Hausdorff feathered paratopological group H and every space X with ot(X) <= w. 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]. (C) 2017 Published by Elsevier B.V.
引用
收藏
页码：26 / 34
页数：9
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