The fundamental group of soft topological spaces

AA Bahredar, N Kouhestani, H Passandideh - Soft Computing, 2022 - Springer
AA Bahredar, N Kouhestani, H Passandideh
Soft Computing, 2022Springer
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 ξ ξ-soft path homotopy, and study some
of their basic properties. We also show that the fundamental group of an ε ε-soft topological
group is commutative. Finally, we define the category soft topological of spaces and prove
that π _1^ soft π 1 soft is a functor from this category to the category of groups.
Abstract
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 -soft path homotopy, and study some of their basic properties. We also show that the fundamental group of an -soft topological group is commutative. Finally, we define the category soft topological of spaces and prove that is a functor from this category to the category of groups.
Springer
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