3 papers
math.LO2026
Combinatorics of Ramsey ideals
Julián C. Cano, Carlos A. Di Prisco, Carlos Uzcátegui
We primarily study several combinatorial properties of Ramsey-type ideals on countably infinite sets. Specifically, we show new combinatorial characterizations of Ramsey ideals thr…
math.LO2026
Some combinatorial properties of semiselective ideals
Julián C. Cano, Carlos A. Di Prisco, Michael Hrušák
We present several combinatorial properties of semiselective ideals on the set of natural numbers. The continuum hypothesis implies that the complement of every selective ideal con…
math.LO2025
Topological games in Ramsey spaces
Julián C. Cano, Carlos A. Di Prisco
Topological Ramsey theory studies a class of combinatorial topological spaces, known as topological Ramsey spaces, unifying the essential features of those combinatorial frames whe…