超拓扑空间上的相对超分离公理

Relative supra-separation axiom in supra-topological spaces

研究了超拓扑空间中的相对超分离公理,给出了超拓扑空间中X的子空间Y在X中的几种放置方式,并证明了相对超T2可推出相对超T1;相对超Ti(i=3,4)且相对强超T1可推出相对超Ti-1(i=3,4),给出了例子说明它们的逆关系不成立.

The relative supra-separation axioms of supra-topological spaces were studied.Several ways of subspace Y of a supra-topological space X located in X were given,if Y is supra-T2 in X,then Y is supra-T1 in X;Y is supra-Ti(i=3,4)in X and Y is strongly supra-T1,then Y is supra-Ti-1(i=3,4),several examples were given to show that their inverse propositions were not hold.