伪度量空间的紧致性分析

摘要

在紧的伪度量空间（X，d）上，讨论了X的任意开覆盖存在Lebesgve数这一问题，总结了实空间和拓扑空间中紧致性的相关结论，并在伪度量空间中作了一些简单的推广应用．%On a compact pseudo - metric space （X, d）, we summarized the relevant conclusions of the compact properties of general topological space and metric space in this paper, and discussed the compact properties of the pseudo - metic space.