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
Ochiq kirishOlmos
Litsenziya: cc-by-nc-nd
ABI
Annotatsiya
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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