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math.GM2025
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…
math.CO2025
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…
math.CO2025
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…