2 papers
math.GN2018
-H-closed spaces
Fortunata Aurora Basile, Maddalena Bonanzinga, Nathan Carlson +1
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 -Hausdorff spaces. The notion of H-…
math.GN2018
On cardinality bounds for -Urysohn spaces
Fortunata Aurora Basile, Nathan Carlson, Jack Porter
We introduce the class of -Urysohn spaces and the --closure operator. -Urysohn spaces generalize the notion of a Urysohn space. We estabilish bounds on the cardin…