11 citations · 11 across the 7 of their papers we have counts for
8 papers
A topological characterization of end space of infinite graphs via games, subspaces and products
Leandro Aurichi, Gustavo Boska, Davide Giacopello +1
In 1992, Diestel asked which topological spaces could be represented as the end space of some graph. In 2023, Pitz provided a solution to this question by giving a topological char…
Totally paracompact spaces and the Menger covering property
Davide Giacopello, Maddalena Bonanzinga, Piotr Szewczak
A topological space is totally paracompact if any base of this space contains a locally finite subcover. We focus on a problem of Curtis whether in the class of regular Lindelöf sp…
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…
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…
On some topological games involving networks
Leandro F. Aurichi, Maddalena Bonanzinga, Davide Giacopello
In these notes we introduce and investigate two new games called R-nw-selective game and the M-nw-selective game. These games naturally arise from the corresponding selection princ…
On n-Hausdorff homogeneous and n-Urysohn homogeneous spaces
Maddalena Bonanzinga, Nathan Carlson, Davide Giacopello +1
In this paper we study -Hausdorff homogeneous and -Urysohn homogeneous spaces. We give some upper bounds for the cardinality of these kind of spaces and give examples. Additi…
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…
Some properties defined by relative versions of star-covering properties II
Maddalena Bonanzinga, Davide Giacopello, Fortunato Maesano
In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type proper…