In this paper we extend the theory of H-closed extensions of Hausdorff spaces to a class of non-Hausdorff spaces, defined in [2], called n-Hausdorff spaces. The notion of H-closed is generalized to an n-H-closed space. Known construction for Hausdorff spaces X, such as the Katetov H-closed extension kappa X, are generalized to a maximal n-H-closed extension denoted by n-kappa X. (C) 2018 Elsevier B.V. All rights reserved.
n-H-closed spaces
Basile, Fortunata AuroraPrimo
;Bonanzinga, MaddalenaSecondo
;
2019-01-01
Abstract
In this paper we extend the theory of H-closed extensions of Hausdorff spaces to a class of non-Hausdorff spaces, defined in [2], called n-Hausdorff spaces. The notion of H-closed is generalized to an n-H-closed space. Known construction for Hausdorff spaces X, such as the Katetov H-closed extension kappa X, are generalized to a maximal n-H-closed extension denoted by n-kappa X. (C) 2018 Elsevier B.V. All rights reserved.File in questo prodotto:
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