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

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2023-10-14 DOI:10.1515/gmj-2023-2080

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

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引用次数: 0

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) if a space X is a C ⁢ ( κ ) {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} .

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若干类拓扑空间和g置换度空间

摘要本文研究了若干类拓扑空间在G -置换度的函子𝖲𝖯G n {\operatorname{\sf SP}^{n}_{G}}的影响下的行为。我们证明:(a)如果一个空间X是一个r讨论,那么𝖲𝖯G n⁡X {\ operatorname{\科幻SP} _ {G} ^ {n} X}, (b)如果X是一个宇宙空间,那么𝖲𝖯G n⁡X {\ operatorname{\科幻SP} _ {G} ^ {n} X}, (c)如果一个空间X是一个c⁢(κ){c (\ kappa)}解释宇宙,那么𝖲𝖯G n⁡X {\ operatorname{\科幻SP} _ {G} ^ {n} X}, (d)如果一个空间X是一个α讨论,那么𝖲𝖯G n⁡X {\ operatorname{\科幻SP} _ {G} ^ {n} X}。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.