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

• Kočinac, Lj. D.R ^[1] ; Mukhamadiev, F. G. ; Sadullaev, A. K. ^[3] ; Meyliev, Sh. U. ^[2]
  1. [1] University of Nis

     University of Nis

     Serbia

     
  2. [2] National University of Uzbekistan

     National University of Uzbekistan

     Uzbekistán

     
  3. [3] Yeoju Technical Institute in Tashkent

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 1, 2023, págs. 229-237
• Idioma: inglés
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• Resumen

  • 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.