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

Details Unification approach to the separation axioms between $T_0$ and completely Hausdorff Unification approach to the separation axioms between $T_0$ and completely Hausdorff

1998-10-12

arxiv.org/abs/math/9810074v1

Mathematics

General Topology

11 pages

Scientific paper

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 $(X,\tau)$ a $T_{\kappa,\xi}$-space if every compact subset of $X$ with cardinality $\leq \kappa$ is $\xi$-closed, where $\xi$ is a general closure operator. We concentrate our attention mostly on two new concepts: kd-spaces and $T_{1/3}$-spaces.

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