3 papers
math.LO2026
Every subset of a topological Ramsey space is Ramsey in the Solovay model
Clement Yung
We provide a proof, free of ultrafilters and almost reduction, that every subset of a topological Ramsey space is Ramsey in the Solovay model.
math.LO2025
Full mad families of vector spaces and two local Ramsey theories
Clement Yung
Let be a vector space over a countable field of dimension . Two infinite-dimensional subspaces are almost disjoint if is finite-dimension…
math.LO2024
Weak A2 spaces, the Kastanas game and strategically Ramsey sets
Clement Yung
We introduce the notion of a weak A2 space (or wA2-space), which generalises spaces satisfying Todorčević's axioms A1-A4 and countable vector spaces. We show that in any Polish wea…