The topological properties of q-spaces in free topological groups

被引：2
|
作者：
Lin, Fucai [1 ]
Liu, Chuan [2 ]
Lin, Shou [1 ,3 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China
[2] Ohio Univ, Dept Math, Zanesville Campus, Zanesville, OH 43701 USA
[3] Ningde Teachers Coll, Inst Math, Ningde 352100, Fujian, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2017年 / 216卷
关键词：
Free topological groups; q-Spaces; gamma-Spaces; omega-Bounded; Pseudocompact; SUBSPACES;
D O I：
10.1016/j.topol.2016.11.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a Tychonoff space X, let F(X) and A(X) be respectively the free topological group and the free Abelian topological group over X in the sense of Markov. In this paper, we provide some topological properties of X whenever one of F(X), A(X), some finite level of F(X) and some finite level of A(X) is q-space (in particular, locally omega-bounded spaces and gamma-spaces), which give some partial answers to a problem posed in [10]. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：38 / 47
页数：10
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