Retractions in homotopy theory for finite topological semigroups

被引：3

作者：

Saif, Amin ^{[1
]}

Othman, Hakeem A. ^{[2
,3
]}

机构：

[1] Taiz Univ, Fac Appl Sci, Dept Math, Taizi, Yemen

[2] Umm Al Qura Univ, AL Qunfudhah Univ Coll, Dept Math, Mecca, Saudi Arabia

[3] Univ Albaydha, Radaa Coll Educ & Sci, Dept Math, Albaydha, Yemen

来源：

TBILISI MATHEMATICAL JOURNAL | 2021年 / 14卷 / 01期

关键词：

homotopy; topological semigroup; retraction;

D O I：

10.32513/tmj/19322008117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study and develop the retracting property in homotopy theory for finite topological semigroups by introducing the notions of DS-retract sets and US-retract sets. We show that these sets are stronger forms of strong S-deformation retract sets. Furthermore, we study the uniqueness of retraction maps and some topological properties for these retract sets.

引用

页码：219 / 232

页数：14