Topologies on the symmetric inverse semigroup

被引：3
|
作者：
Perez, J. [1 ]
Uzcategui, C. [1 ]
机构：
[1] Univ Ind Santander, Escuela Matemat, Bucaramanga 680001, Colombia
来源：
SEMIGROUP FORUM | 2022年 / 104卷 / 02期
关键词：
Inverse semigroup; Topological semigroup; Polish semigroup;
D O I：
10.1007/s00233-021-10242-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The symmetric inverse semigroup I(X) on a set X is the collection of all partial bijections between subsets of X with composition as the algebraic operation. We study the minimal Hausdorff inverse semigroup topology on I(X). We present some characterizations of it. When X is countable such topology is Polish.
引用
收藏
页码：398 / 414
页数：17
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