20 citations · 53 across the 13 of their papers we have counts for
8 papers · 1 filter
A generalized infinite quantum Ramsey theorem for operator systems
José G. Mijares
We prove a generalization of the infinite quantum Ramsey theorem of Kennedy et al. (arXiv:1711.09526), showing that it follows from an archetypical "selective" pattern satisfied by…
Homogeneous Dual Ramsey Theorem
Jose G. Mijares
For positive integers such that divides , let be the set of homogeneous -partitions of , that is, the set of partitions of $\{1, \…
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…
Topological Ramsey spaces and metrically Baire sets
Natasha Dobrinen, Jose G. Mijares
We characterize a class of topological Ramsey spaces such that each element of the class induces a collection of projected spaces which have t…
A parametrization of the abstract Ramsey theorem
Jose G. Mijares, Jesus Nieto
We give a parametrization with perfect subsets of of the abstract Ramsey theorem (see \cite{todo}) Our main tool is an extension of the parametrized version of the com…
Ideal games and Ramsey sets
Carlos Di Prisco, Jose G. Mijares, Carlos Uzcategui
It is shown that Matet's characterization of the Ramsey property relative to a selective co-ideal , in terms of games of Kastanas, still holds if we consider semiselec…