Some topological and cardinal properties of the space of permutation degree-Reference-Cited by-同舟云学术

Some topological and cardinal properties of the space of permutation degree

Published:2022 Issue:20 Volume:36 Page:7059-7066
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kocinac Ljubisa¹^ORCID,Mukhamadiev Farkhod²,Sadullaev Anvar³

Affiliation:

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

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

3. Yeoju Technical Institute in Tashkent, Tashkent, Uzbekistan

Abstract

In this paper, we prove a few facts and some cardinal properties of the space of permutation degree introduced in [6]. More precisely, we prove that if the productXn is a Lindel?f (resp. locally Lindel?f) space, then the space SPnX is also Lindel?f (resp. locally Lindel?f). We also prove that if the product Xn is a weakly Lindel?f (resp. weakly locally Lindel?f) space, then the space SPnX is also weakly Lindel?f (resp. weakly locally Lindel?f). Moreover, we investigate the preservation of the network weight, ?-character and local density of topological spaces by the functor of G-permutation degree. It is proved that this functor preserves the network weight, ?-character and local density of infinite topological T1-spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference19 articles.

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5. R.B. Beshimov, F.G. Mukhamadiev, Cardinal properties of Hattori spaces and their hyperspaces, Questions Answers Gen. Topology 33 (2015) 33-38.

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