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A decomposition of soft continuity in soft topological spaces

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Abstract

Introducing the notions of soft \(\varvec{{\widetilde{t}}}\)-sets, soft \(\varvec{{\widetilde{t}}^{*}}\)-sets, soft \(\varvec{\mathcal {{\widetilde{B}}}}\)-sets, soft \(\varvec{{\widetilde{\alpha }}^{*}}\)-sets and soft \(\varvec{{\widetilde{C}}}\)-sets in the setting of soft topological spaces, we study some of its properties and investigate the relationships between them besides considering some variants of continuous maps on soft topological spaces.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt

    Osama Rashed Sayed

  2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), 43600, Bangi, Selangor DE, Malaysia

    Nasruddin Hassan

  3. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt

    Ahmed Mostafa Khalil

Authors
  1. Osama Rashed Sayed
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  2. Nasruddin Hassan
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  3. Ahmed Mostafa Khalil
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Correspondence to Nasruddin Hassan.

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Sayed, O.R., Hassan, N. & Khalil, A.M. A decomposition of soft continuity in soft topological spaces. Afr. Mat. 28, 887–898 (2017). https://doi.org/10.1007/s13370-017-0494-8

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  • DOI: https://doi.org/10.1007/s13370-017-0494-8

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