4 papers
Some variations of the Banach-Mazur game
Leandro Fiorini Aurichi, Maddalena Bonanzinga, Gabriel Andre Asmat Medina
The classical Banach-Mazur game is directly related to the Baire property and the property of being a productively Baire space. In this paper, we discuss two variations of this cla…
-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-…
Variations on known and recent cardinality bounds
Fortunata Aurora Basile, Maddalena Bonanzinga, Nathan Carlson
Sapirovskii [18] proved that , for a regular space . We introduce the -pseudocharacter of a Urysohn space , denoted by , and prove that th…
Diagonalizations of dense families
Maddalena Bonanzinga, Filippo Cammaroto, Bruno Antonio Pansera +1
We develop a unified framework for the study of properties involving diagonalizations of dense families in topological spaces. We provide complete classification of these propertie…