3 papers
math.LO2023
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.LO2023
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…
math.CO2018
Ramsey subsets of the space of infinite block sequences of vectors
Daniel Calderon, Carlos Di Prisco, Jose G. Mijares
We study families of infinite block sequences of elements of the space $\FIN_k$. In particular we study Ramsey properties of such families and Ramsey properties localized to a sele…