5 papers
Ray and end spaces: characterizations and classification up to homeomorphism
Matheus Duzi, Gabriel Fernandes, Paulo Magalhães Júnior
We provide a combinatorial characterization for pairs of order-theoretic trees with homeomorphic ray spaces, answering an open problem proposed by Kurkofka ad Pitz. This solution i…
Categories of Games and their Fraïssé Theory
Matheus Duzi, Paul Szeptycki, Walter Tholen
Relying on recent generalizations of the Fraïssé theory to a broader category-theoretic context, we study the class of abstract finite games played between two players and show the…
On covering properties of end and ray spaces
Rodrigo Rey Carvalho, Matheus Duzi, Vinicius de Oliveira Rodrigues
We provide new results on combinatorial characterizations of covering properties in end spaces and ray spaces. In particular, we characterize the Lindelöf degree, the extent, the R…
On edge-direction and compact edge-end spaces
Gustavo Boska, Matheus Duzi, Paulo Magalhães Júnior
Directions of graphs were originally introduced in the study of a cops-and-robbers kind of game, while the study of end spaces has been used to generalize classical graph-theoretic…
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…