3 papers
math.GN2026
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…
math.GN2025
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 s…
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…