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 \(\xi \)-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.
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Bahredar, A.A., Kouhestani, N. & Passandideh, H. The fundamental group of soft topological spaces. Soft Comput 26, 541–552 (2022). https://doi.org/10.1007/s00500-021-06450-5
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DOI: https://doi.org/10.1007/s00500-021-06450-5