3 papers
math.GN2024
On some recent selective properties involving networks
Maddalena Bonanzinga, Davide Giacopello, Santi Spadaro +1
In this paper we investigate R-,H-, and M-{\it nw}-selective properties introduced in \cite{BG}. In particular, we provide consistent uncountable examples of such spaces and we def…
math.GN2024
On spaces with a -base whose elements have an H-closed closure
Davide Giacopello
We deal with the class of Hausdorff spaces having a -base whose elements have an H-closed closure. Carlson proved that for every quasiregular space…
math.GN2023
New bounds on the cardinality of n-Hausdorff and n-Urysohn spaces
Maddalena Bonanzinga, Nathan Carlson, Davide Giacopello
Two new cardinal functions defined in the class of -Hausdorff and -Urysohn spaces that extend pseudocharacter and closed pseudocharacter respectively are introduced. Through…