The weak Ramsey property and extreme amenability
Logic
2024-11-20 v2 Category Theory
Abstract
We extend the Kechris--Pestov--Todor\v{c}evi\'c correspondence to weak Fra\"{\i}ss\'{e} categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property. We demonstrate the theory on several examples including monoid categories, the category of almost linear orders, and categories of strong embeddings of trees.
Keywords
Cite
@article{arxiv.2110.01694,
title = {The weak Ramsey property and extreme amenability},
author = {Adam Bartoš and Tristan Bice and Keegan Dasilva Barbosa and Wiesław Kubiś},
journal= {arXiv preprint arXiv:2110.01694},
year = {2024}
}
Comments
57 pages, 12 figures