关于中紧性的注记

A NOTE ON MESOCOMPACTNESS

本文利用良序单调复盖、内部保持复盖、次ｏｒｔｈｏ－紧及垫状加细等刻画了中紧性。其次，证明了空间是中紧的当且仅当它是中可膨胀的且具有性质ｂ＿ｏ它们分别改进了文献［１］、［２］的相应结果。

In this paper mesocompactness is characterized in term of well-monotonecover, interior-preserving cover,suborthocompact and cushioned refinement,which improves the results of Guoshi Gao and Lisheng Wu.We prove that aspace is mnesocompact if and only if it is meso-expandable and has properly,which improves the result of JiGuang Jiang.