4 papers · 1 filter
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…
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…
Weak covering properties and infinite games
Liljana Babinkostova, Bruno A. Pansera, Marion Scheepers
We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection pri…