Soft Homotopy Classes and Their Fundamental Group

被引:1
|
作者
Nazmul, Sk. [1 ]
Biswas, Golam [1 ]
机构
[1] Kazi Nazrul Univ Asansol, Dept Math, Paschim Burdwan 713340, West Bengal, India
关键词
Soft set; soft element; soft mapping; soft homotopy classes; fundamental group;
D O I
10.1142/S1793005724500042
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, our prime aim is to develop the concept of fundamental group structure in soft set theoretic approach. To execute this, first, we have defined soft homotopy of maps, soft path, soft loop, soft path homotopy, soft loop homotopy, product of soft loops, soft homotopy class, etc., at a soft element using generalized soft mappings and their important behaviors are studied. Finally, we have introduced the notion of fundamental group whose members are soft homotopy classes. Some examples are also discussed in different soft topological spaces.
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页码:45 / 59
页数:15
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