Soft Homotopy Classes and Their Fundamental Group

Sk. Nazmul and Golam Biswas ()
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Sk. Nazmul: Department of Mathematics, Kazi Nazrul University, Asansol, Paschim Burdwan 713340, West Bengal, India
Golam Biswas: Department of Mathematics, Kazi Nazrul University, Asansol, Paschim Burdwan 713340, West Bengal, India

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 01, 45-59

Abstract: 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.

Keywords: Soft set; soft element; soft mapping; soft homotopy classes; fundamental group (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500042

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