From the 1 of 5 linked papers with an AI index.
5 papers
Ray and end spaces: characterizations and classification up to homeomorphism
Matheus Duzi, Gabriel Fernandes, Paulo Magalhães Júnior
The paper gives a combinatorial description of when pairs of order‑theoretic trees have homeomorphic ray spaces, using a transfinite topological game, and applies this to character…
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…
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 t…
Infinitely ludic categories
Matheus Duzi, Paul Szeptycki, Walter Tholen
Pursuing a new approach to the study of infinite games in combinatorics, we introduce the categories and and improve some classical results…
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…