Unification approach to the separation axioms between $T_0$ and completely Hausdorff
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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.
11 pages
11 pages