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关于中紧性的注记
引用本文:李招文,李进金.关于中紧性的注记[J].数学杂志,1995,15(2):142-146.
作者姓名:李招文  李进金
作者单位:长沙水利电力师范学院,漳州师范学院
摘    要: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胡性质b。它们分别改进了文献[1]、[2]的相应结果。

关 键 词:中紧性  复盖  拓扑空间  良序单调复盖

A NOTE ON MESOCOMPACTNESS
Li Zhaowen.A NOTE ON MESOCOMPACTNESS[J].Journal of Mathematics,1995,15(2):142-146.
Authors:Li Zhaowen
Institution:Li Zhaowen(Changsha Normal University of Water Resources and Electric Power)Li Jinjing(zhangzhou Normal University )
Abstract: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.
Keywords:mesocompactness  cover  cushioned refinement  
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