Some network-type properties of the space of G-permutation degree
Ljubiša D. R. KočinacUniversity of NišF. G. MukhamadievNational University of UzbekistanAnvar K. SadullaevYeoju Technical Institute in TashkentSh. U. MeylievNational University of Uzbekistan
ABI
Аннотация
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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