The fundamental group of soft topological spaces

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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 \(\varepsilon \)-soft topological group is commutative. Finally, we define the category soft topological of spaces and prove that \(\pi _1^\mathrm{soft}\) is a functor from this category to the category of groups.