The fundamental group of soft topological spaces

被引：9

作者：

Bahredar, A. A. ^{[1
]}

Kouhestani, N. ^{[1
]}

Passandideh, H. ^{[2
]}

机构：

[1] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

SOFT COMPUTING | 2022年 / 26卷 / 02期

关键词：

Soft topological space; Soft path; Soft loop; Fundamental group; x-Soft homotopy; SET-THEORY; AXIOMS;

D O I：

10.1007/s00500-021-06450-5

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce the notion of fundamental group for soft topological spaces. To do so, we define soft paths, soft loops and the notion of xi-soft path homotopy, and study some of their basic properties. We also show that the fundamental group of an e-soft topological group is commutative. Finally, we define the category soft topological of spaces and prove that pi(soft)(1) is a functor from this category to the category of groups.

引用

页码：541 / 552

页数：12

共 19 条

[1] Soft sets and soft rings [J].