Compactly generated rectifiable spaces or paratopological groups

被引：0
|
作者：
Lin, Fucai [1 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China
来源：
MATHEMATICAL COMMUNICATIONS | 2013年 / 18卷 / 02期
关键词：
compactly generated; rectifiable spaces; paratopological groups; sigma-compact; perfect mappings; finitely generated modulo open sets; compactifications; metrizable spaces; quasi-G(delta)-diagonal;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A rectifiable space (or a paratopological group) G is compactly generated if G = < K > for some compact subset K of G. In this paper, we mainly discuss compactly generated rectifiable spaces or paratopological groups. The main results are that: (1) each sigma-compact metrizable rectifiable space containing a dense compactly generated rectifiable subspace is compactly generated; (2) a metriable rectifiable space is compactly generated if and only if it is sigma-compact and finitely generated modulo open sets; (3) any sigma-compact paratopological group can be embedded as a closed paratopological subgroup in some compactly generated paratopological group. Finally, we consider generalized metric properties of compactly generated rectifiable spaces.
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页码：417 / 427
页数：11
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