Some classes of topological spaces and the space of <i>G</i>-permutation degree-Reference-Cited by-同舟云学术

Some classes of topological spaces and the space of G-permutation degree

Published:2023-10-14 Issue:0 Volume:0 Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Kočinac Ljubiša D. R.¹,Mukhamadiev Farkhod G.²,Sadullaev Anvar K.³

Affiliation:

1. Faculty of Sciences and Mathematics , University of Niš , 18000 Niš , Serbia

2. National University of Uzbekistan named after Mirzo Ulugbek , 100174 Tashkent , Uzbekistan

3. Kimyo International University in Tashkent , 100121 , Tashkent , Uzbekistan

Abstract

Abstract In this paper, we study the behavior of some classes of topological spaces under the influence of the functor of G-permutation degree 𝖲𝖯 G n

{\operatorname{\sf SP}^{n}_{G}}

. We prove:

(a) if a space X is an r-space, then so is 𝖲𝖯 G n ⁡ X

{\operatorname{\sf SP}_{G}^{n}X}

(b) if X is a cosmic space, then so is 𝖲𝖯 G n ⁡ X

{\operatorname{\sf SP}_{G}^{n}X}

{C(\kappa)}

-cosmic, then so is 𝖲𝖯 G n ⁡ X

{\operatorname{\sf SP}_{G}^{n}X}

(d) if a space X is an α-space, then so is 𝖲𝖯 G n ⁡ X

{\operatorname{\sf SP}_{G}^{n}X}

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2080/pdf

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