On the Space of G-Permutation Degree of Some Classes of Topological Spaces
Ljubiša D. R. KočinacDepartment of Mathematics, State University of Novi Pazar, 36300 Novi Pazar, SerbiaF. G. MukhamadievFaculty of Mathematics, National University of Uzbekistan Named after Mirzo Ulugbek, Str. University 4, Tashkent 100174, UzbekistanAnvar K. SadullaevDepartment of Exact Sciences, Yeoju Technical Institute in Tashkent, Str. Usman Nasyr 156, Tashkent 100121, Uzbekistan
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Annotatsiya
In this paper, we study the space of G-permutation degree of some classes of topological spaces and the properties of the functor SPGn of G-permutation degree. In particular, we prove: (a) If a topological space X is developable, then so is SPGnX; (b) If X is a Moore space, then so is SPGnX; (c) If a topological space X is an M1-space, then so is SPGnX; (d) If a topological space X is an M2-space, then so is SPGnX.
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