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

Ljubiša D. R. Kočinac (), Farkhod G. Mukhamadiev and Anvar K. Sadullaev
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Ljubiša D. R. Kočinac: Faculty of Sciences and Mathematics, University of Niš, 18000 Niš, 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

Mathematics, 2023, vol. 11, issue 22, 1-6

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 .

Keywords: functor of permutation degree; developable space; Moore space; M1-space; M2-space; Nagata space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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