Iian B. Smythe

collaborators

3 papers

math.CO2026

Parametrizing the Ramsey theory of vector spaces I: Discrete spaces

Iian B. Smythe

We show that the Ramsey theory of block sequences in infinite-dimensional discrete vector spaces can be parametrized by perfect sets. As special cases, we prove combinatorial dicho…

math.LO2025

Manifold classification from the descriptive viewpoint

Jeffrey Bergfalk, Iian B. Smythe

We consider classification problems for manifolds and discrete subgroups of Lie groups from a descriptive set-theoretic point of view. This work is largely foundational in concepti…

math.CO2025

Iian B. Smythe, Mithuna Threz, Max Wiebe

For each $n \geq 2$ , we show that the class of all finite $n$ -dimensional partial orders, when expanded with $n$ linear orders which realize the partial order, forms a FraÃ¯ssÃ© cla…

Parametrizing the Ramsey theory of vector spaces I: Discrete spaces

Manifold classification from the descriptive viewpoint

A FraÃ¯ssÃ© theory for partial orders of a fixed finite dimension