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

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

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...

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Bibliographic Details
Main Authors: Lj. D.R Kočinac, F. G. Mukhamadiev, A. K. Sadullaev, Sh. U. Meyliev
Format: Article
Language:English
Published: Universitat Politècnica de València 2023-04-01
Series:Applied General Topology
Subjects:
functor of permutation degree
network
cs-network
cs∗-network
cn-network
ck-network
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/18985
Description
Summary: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.
ISSN:1576-9402
1989-4147

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