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On fundamental group of soft topological spaces
  • Ali Akbar Bahredar,
  • Nader Kouhestani,
  • Hadi Passandideh
Ali Akbar Bahredar
University of Sistan and Baluchestan
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Nader Kouhestani
University of Sistan and Baluchestan
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Hadi Passandideh
University of Sistan and Baluchestan
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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, and that \(\pi_{1}^{soft}\) is a functor between the category of soft topological spaces and the category of groups.