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- W1566340293 abstract "This paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} (pre-Hausdorff), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss. We establish several different characterizations of pre-Hausdorff spaces, and a characterization of Hausdorff spaces in terms of pre-Hausdorff. We also discuss some classical Theorems of general topology which can or cannot be generalized by replacing the Hausdorff condition by pre-Hausdorff." @default.
- W1566340293 created "2016-06-24" @default.
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- W1566340293 date "2008-03-07" @default.
- W1566340293 modified "2023-09-23" @default.
- W1566340293 title "Pre-Hausdorff Spaces" @default.
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