Abstract
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 ≦ 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.
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Arenas, F.G., Dontchev, J. & Puertas, M.L. Unification Approach to the Separation Axioms Between T 0 and Completely Hausdorff. Acta Mathematica Hungarica 86, 75–82 (2000). https://doi.org/10.1023/A:1006791417806
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DOI: https://doi.org/10.1023/A:1006791417806