Some aspects of topological dynamics of Polish groups (with an introduction to descriptive set theory)

Fuente: arXiv
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Main Author: Melleray, Julien
Format: Preprint
Published: 2026
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author Melleray, Julien
author_facet Melleray, Julien
contents The first part of these notes give an introduction to the theory of Polish group actions on compact Hausdorff spaces, leading up to a proof of the Kechris-Pestov-Todorcevic correspondence and discussions of properties of universal minimal flows. The second part proveides some background on descriptive set theory and culminates with B. Miller's proof of the $\mathcal{G}_0$-dichotomy theorem due to Kechris, Solecki, and Todorcevic.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23799
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Some aspects of topological dynamics of Polish groups (with an introduction to descriptive set theory)
Melleray, Julien
Logic
The first part of these notes give an introduction to the theory of Polish group actions on compact Hausdorff spaces, leading up to a proof of the Kechris-Pestov-Todorcevic correspondence and discussions of properties of universal minimal flows. The second part proveides some background on descriptive set theory and culminates with B. Miller's proof of the $\mathcal{G}_0$-dichotomy theorem due to Kechris, Solecki, and Todorcevic.
title Some aspects of topological dynamics of Polish groups (with an introduction to descriptive set theory)
topic Logic
url https://arxiv.org/abs/2602.23799