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Unification Approach to the Separation Axioms Between T 0 and Completely Hausdorff |
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| Authors: | F G Arenas J Dontchev M L Puertas |
| Institution: | 1. Area of Geometry and Topology Faculty of Science, Universidad De Almería, 04071, Almería, Spain 2. Area of Geometry and Topology Faculty of Science, Universidad De Almería, 04071 Almería, Spain 3. Department of Mathematics, University of Helsinki, PL 4, Yliopistonkatu 15, 00014, Helsinki, Finland |
| 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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