$T_0$与完全Hausdorff的separation axioms统一方法
Unification approach to the separation axioms between $T_0$ and completely Hausdorff
摘要：
本文的目的是引入一个新的弱分离性公理，推广了$T_1$和完全Hausdorff之间的分离性.我们称拓扑空间$(X,τ)$为$T_{κ,ξ}$ -空间，如果$X$的每个具有基数$\leq κ$的紧子集都是$ξ$ -闭的，其中$ξ$是一般闭包算子.本文主要讨论两个新的概念：kd-空间和$T_{1/3}$ -空间。
英文摘要：
The aim of this paper is to introduce a new weak separation axiom that generalizes the separation properties between $T_1$ and completely Hausdorff. We call a topological space $(X,τ)$ a $T_{κ,ξ}$-space if every compact subset of $X$ with cardinality $\leq κ$ is $ξ$-closed, where $ξ$ is a general closure operator. We concentrate our attention mostly on two new concepts: kd-spaces and $T_{1/3}$-spaces.
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。
