Clement Yung

collaborators

3 papers

math.LO2026

Full mad families of vector spaces and two local Ramsey theories

Clement Yung

Let $E$ be a vector space over a countable field of dimension $ℵ_{0}$ . Two infinite-dimensional subspaces $V, W \subseteq E$ are almost disjoint if $V \cap W$ is finite-dimension…

math.LO2025

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 TodorÄeviÄ's axioms A1-A4 and countable vector spaces. We show that in any Polish w…

math.LO2025

Mad families of Gowers' infinite block sequences

Clement Yung

Call a subset of $FIN_{k}$ small if it does not contain a copy of $⟨ A ⟩$ for some infinite block sequence $A \in FIN_{k}^{[\infty]}$ . Gowers' $\mathbf{FI…