近似紧空间与具有近似闭图的映射

Nearly compact spaces and maps with nearly closed graph

引进了具有近似闭图映射的概念,利用它刻画了近似紧空间的特征.T1 空间Y是近似紧的当且仅当对每一个完全正规的T2空间X及对每一个带有近似闭图的映射f:XY,f是几乎连续的.

A concept of map with nearly closed graph was given in this paper.which a T-1~* space Y is nearly compact iff for any fully normal T-2 space X and any map with nearly closed graph f:XY, f is a almost continuous map is proved.