Some network-type properties of the space of G-permutation degree

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-04-05 DOI:10.4995/agt.2023.18985

L. Kočinac, F. Mukhamadiev, A. Sadullaev, Sh. U. Meyliev

引用次数: 0

Abstract

In this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has acs-network (resp.cs∗-network) ofcardinality≤κ, thenSPnGXhas acs-network (resp.cs∗-network) ofcardinality≤κ;(3) IfXis aT1-space that has acn-network (resp.ck-network) ofcardinality≤κ, thenSPnGXhas acn-network (resp.ck−network) ofcardinality≤κ.

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g -置换度空间的一些网络型性质

本文研究了x的g -置换度的空间espngx的网络型性质(网络、cs -网络、cs * -网络、cn -网络和ck -网络)。证明了:(1)如果IfXis的at1空间具有基数≤κ的网络，则spngx具有基数≤κ的网络;(2)如果IfXis的at1空间具有基数≤κ的acs-network (resp.cs∗-network)，则spngx具有基数≤κ的acs-network (resp.cs∗-network);(3)如果IfXis的at1空间具有基数≤κ的acn-network (resp.ck-network)，则spngx具有基数≤κ的acn-network (resp.ck-network)。

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

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.