F. A. Basile

collaborators

3 papers

math.GN2018

$n$ -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 $n$ -Hausdorff spaces. The notion of H-…

math.GN2018

On cardinality bounds for $θ^{n}$ -Urysohn spaces

Fortunata Aurora Basile, Nathan Carlson, Jack Porter

We introduce the class of $θ^{n}$ -Urysohn spaces and the $n$ - $θ$ -closure operator. $θ^{n}$ -Urysohn spaces generalize the notion of a Urysohn space. We estabilish bounds on the cardin…

math.GN2017

Variations on known and recent cardinality bounds

Fortunata Aurora Basile, Maddalena Bonanzinga, Nathan Carlson

Sapirovskii [18] proved that $∣ X ∣ \leq π χ (X)^{c (X) ψ (X)}$ , for a regular space $X$ . We introduce the $θ$ -pseudocharacter of a Urysohn space $X$ , denoted by $ψ_{θ} (X)$ , and prove that th…

n-H-closed spaces

On cardinality bounds for θn-Urysohn spaces

Variations on known and recent cardinality bounds

$n$ -H-closed spaces

On cardinality bounds for $θ^{n}$ -Urysohn spaces