most citedAbsolutes of Hausdorff spaces and cardinal invariants $F_{\te}$ and $t_{\te}$}

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math.GN2012

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…

math.GN20121 cited

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…

math.GN2012

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…

math.GN2012

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…

math.GN2012

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…