1 citations · 1 across the 8 of their papers we have counts for
9 papers
-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-…
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…
On the cardinality of Hausdorff spaces and H-closed spaces
Nathan Carlson, Jack Porter
We introduce the cardinal invariant and show that for any Hausdorff space (a corollary of Theorem 4.4. This invariant has the prop…
Cardinality bounds involving the skew- Lindelöf degree and its variants
Nathan Carlson, Jack Porter
We introduce a modified closing-off argument that results in several improved bounds for the cardinalities of Hausdorff and Urysohn spaces. These bounds involve the cardinal invari…
On the cardinality of Hausdorff spaces
Filippo Cammaroto, Andrei Catalioto, Jack Porter
A common generalization for two of the main streams of cardinality inequalities is developed; each stream derives from the famous inequality established by A.V. Arhangel'ski\uı in…
Absolutes of Hausdorff spaces and cardinal invariants $F_{\te}$ and $t_{\te}$}
Filippo Cammaroto, Andrei Catalioto, Jack Porter
This article extends the recent study of the cardinal functions and for H-closed Urysohn spaces and the research of I. Bandlov and V.I. Ponomarev on tightness type of a…
Cardinal functions and for H-closed spaces
Filippo Cammaroto, Andrei Catalioto, Jack Porter
In this article, starting with results from a paper by Cammaroto and Kočinac in 1993, we prove that for every H-cl…
On the cardinality of the -closed hull of sets II
Filippo Cammaroto, Andrei Catalioto, Bruno Antonio Pansera +1
The research in this paper is a continuation of the investigation of the cardinality of the -closed hull of subsets of spaces. This research obtains new upper bounds of the card…
On the cardinality of the -closed hull of sets
Filippo Cammaroto, Andrei Catalioto, Bruno Antonio Pansera +1
The θ-closed hull of a set A in a topological space is the smallest set C containing A such that, whenever all neighborhoods of a point intersect C, this point is in C. We…