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Topology |
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Authors: Giorgio Nordo
In this paper we generalize the notion of perfect compactification of a Tychonoff space to a generic extension of any space by introducing the concept of perfect pair. This allow us to simplify the treatment in a basic way and in a more general setting. Some Skljarenko and Diamond’s results are improved and new characterizations for perfect (Hausdorff) extensions of spaces are obtained.
Comments: 10 Pages.
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[v1] 2020-05-28 16:20:35
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