密度拓扑中的正交紧性和半层性
Orthocompactness and semi-stratifiability in the density topology
摘要：
密度拓扑$\cal T$是一种在实直线上的拓扑，比通常的拓扑更精细，具有作为其开集的${\mathbb R}$的可测量子集，这些子集在它们的每个点处具有密度1。本文的目的是确定密度拓扑的哪些子集是半层紧的、正交紧的和弱遗传伪紧的。
英文摘要：
The density topology $\cal T$ is a topology on the real line, finer than the usual topology, having as its open sets the measurable subsets of ${\mathbb R}$, which are of density 1 at each of their points. The aim of this paper is to determine which subsets of the density topology are semi-stratifiable, orthocompact and weakly hereditarily pseudocompact.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
