Topological monomorphisms between free paratopological groups

被引：4

作者：

Lin, Fucai ^{[1
]}

机构：

[1] Zhangzhou Normal Univ, Dept Math & Informat Sci, Zhangzhou 363000, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2012年 / 19卷 / 03期

关键词：

Free paratopological groups; topological monomorphism; free topological groups; quasi-uniform; quasi-P*-embedded; quasi-P-embedded; quasi-pseudometric; universal quasi-uniformity;

D O I：

10.36045/bbms/1347642379

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that X is a subspace of a Tychonoff space Y. Then the embedding mapping e(X,Y) : X -> Y can be extended to a continuous monomorphism (e) over cap (X,Y) : AP(X) -> A P(Y), where A P(X) and A P(Y) are the free Abelian paratopological groups over X and Y, respectively, in this paper, we mainly discuss when (e) over cap (X,Y) is a topological monomorphism, that is, when (e) over cap (X,Y) is a topological embedding of AP(X) to AP(Y).

引用

页码：507 / 521

页数：15