Department of Mathematics

In this talk, we will consider the interaction between Ramsey theory, Fraïssé theory, and dimensions of partial orders.

In particular, we will discuss how certain dense subsets of the n-dimensional rational grid can be viewed as Fraïssé limits of the class of finite \( n \)-dimensional partial orders when endowed with linear orders which "realize" their dimension, and how their associated Ramsey theory yields a strong fixed-point property for the automorphism group of this limit structure.

This is the result of joint work with Mithuna Threz and Max Wiebe.