activity
20052026
most citedA notion of selective ultrafilter corresponding to topological Ramsey spaces

20 citations · 53 across the 13 of their papers we have counts for

collaborators

15 papers

math.CO2026

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…

math.CO2019

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, \…

math.CO2018★ 1 cited

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…

math.LO2018

Banach Spaces from Barriers in High Dimensional Ellentuck Spaces

Alvaro Arias, Natasha Dobrinen, Gabriel Giron-Garnica +1

A new hierarchy of Banach spaces , any positive integer, is constructed using barriers in high dimensional Ellentuck spaces \cite{DobrinenJSL15} following the classic…

math.LO2015

Local Ramsey theory. An abstract approach

Carlos Di Prisco, Jose G. Mijares, Jesus Nieto

Given a topological Ramsey space , we extend the notion of semiselective coideal to sets and study conditions for …

math.CO2014

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…