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On the Space of G -Permutation Degree of Some Classes of Topological Spaces

Author

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  • Ljubiša D. R. Kočinac

    (Faculty of Sciences and Mathematics, University of Niš, 18000 Niš, Serbia
    Department of Mathematics, State University of Novi Pazar, 36300 Novi Pazar, Serbia)

  • Farkhod G. Mukhamadiev

    (Faculty of Mathematics, National University of Uzbekistan Named after Mirzo Ulugbek, Str. University 4, Tashkent 100174, Uzbekistan)

  • Anvar K. Sadullaev

    (Department of Exact Sciences, Yeoju Technical Institute in Tashkent, Str. Usman Nasyr 156, Tashkent 100121, Uzbekistan)

Abstract

In this paper, we study the space of G -permutation degree of some classes of topological spaces and the properties of the functor SP G n of G -permutation degree. In particular, we prove: (a) If a topological space X is developable, then so is SP G n X ; (b) If X is a Moore space, then so is SP G n X ; (c) If a topological space X is an M 1 -space, then so is SP G n X ; (d) If a topological space X is an M 2 -space, then so is SP G n X .

Suggested Citation

  • Ljubiša D. R. Kočinac & Farkhod G. Mukhamadiev & Anvar K. Sadullaev, 2023. "On the Space of G -Permutation Degree of Some Classes of Topological Spaces," Mathematics, MDPI, vol. 11(22), pages 1-6, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4624-:d:1278590
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    1. Ljubiša D. R. Kočinac & Farkhod G. Mukhamadiev & Anvar K. Sadullaev, 2022. "Tightness-Type Properties of the Space of Permutation Degree," Mathematics, MDPI, vol. 10(18), pages 1-7, September.
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