Iian B. Smythe

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20112025

most citedA local Ramsey theory for block sequences

7 citations · 11 across the 10 of their papers we have counts for

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math.CO2024

A Fraïssé theory for partial orders of a fixed finite dimension

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 Fraïssé class…

math.CO2021

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…