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arXiv · 1808.07570

$n$-H-closed spaces

Fortunata Aurora Basile·Maddalena Bonanzinga·Nathan Carlson·Jack Porter
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Abstract

In this paper we extend the theory of H-closed extensions of Hausdorff spaces to a class of non-Hausdorff spaces, defined in \cite{B}, 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 Kat\v{e}tov H-closed extension $\kappa X$, are generalized to a maximal $n$-H-closed extension denoted by $n$-$\kappa X$.

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Fortunata Aurora Basile, Maddalena Bonanzinga, Nathan Carlson, Jack Porter. 2018-08-22. $n$-H-closed spaces. https://arxiv.org/abs/1808.07570

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