23 citations · 43 across the 25 of their papers we have counts for
18 papers · 1 filter
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…
A density counterpart of the Scheepers covering property
Leandro Aurichi, Fortunato Maesano, Lyubomyr Zdomskyy
We introduce a density counterpart of the Scheepers covering property and study its relations to known combinatorial density property. In par…
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…
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…
A characterization of productive cellularity
Renan Maneli Mezabarba, Leandro Fiorini Aurichi, Lucia Renato Junqueira
We investigate the notion of productive cellularity of arbitrary posets and topological spaces. Particularly, by working with families of antichains ordered with reverse inclusion,…
Topological games of bounded selections
Leandro F. Aurichi, Matheus Duzi
We present a new variation of the classical selection principles () and $\mathsf{S}_\mathrm{fin}(\mathcal A, \mathcal…