The aim of this paper is to introduce a new weak separation axiom thatgeneralizes the separation properties between $T_1$ and completely Hausdorff.We call a topological space $(X,\tau)$ a $T_{\kappa,\xi}$-space if everycompact subset of $X$ with cardinality $\leq \kappa$ is $\xi$-closed, where$\xi$ is a general closure operator. We concentrate our attention mostly on twonew concepts: kd-spaces and $T_{1/3}$-spaces.
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机译：本文的目的是介绍一种新的弱分离公理，该公理一般化$ T_1 $和完全Hausdorff之间的分离特性。我们称拓扑空间$（X，\ tau）$为$ T _ {\ kappa，\ xi} $-如果基数为$ \ leq \ kappa $的$ X $的每个紧凑子集为$ \ xi $ -closed，其中$ \ xi $为通用闭包运算符。我们主要将注意力集中在两个新概念上：kd空间和$ T_ {1/3} $空间。
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