Andy Zucker

activity

20172022

collaborators

7 papers

math.LO2022

Polish space partition principles and the Halpern-Läuchli theorem

Chris Lambie-Hanson, Andy Zucker

The Halpern-Läuchli theorem, a combinatorial result about trees, admits an elegant proof due to Harrington using ideas from forcing. In an attempt to distill the combinatorial esse…

math.DS2020

Minimal model-universal flows for locally compact Polish groups

Colin Jahel, Andy Zucker

Let $G$ be a locally compact Polish group. A metrizable $G$ -flow $Y$ is called model-universal if by considering the various invariant probability measures on $Y$ , we can recover e…

math.DS2019

Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable

Yonatan Gutman, Todor Tsankov, Andy Zucker

Answering a question of Uspenskij, we prove that if $X$ is a closed manifold of dimension $2$ or higher or the Hilbert cube, then the universal minimal flow of $Homeo (X)$ …

math.DS2019

A note on minimal models for pmp actions

Andy Zucker

Given a countable group $G$ , we say that a metrizable flow $Y$ is model-universal if by considering the various invariant measures on $Y$ , we can recover every free measure-preserv…

math.DS2018

Bernoulli disjointness and maximally almost periodic groups

Andy Zucker

We show that any discrete group containing an infinite, normal, maximally almost periodic subgroup has the Bernoulli Disjointness Property, or BDJ. Also, any group containing enoug…

math.DS2018

Fraïssé structures and a conjecture of Furstenberg

Dana Bartošová, Andy Zucker

We study problems concerning the Samuel compactification of the automorphism group of a countable first-order structure. A key motivating question is a problem of Furstenberg and a…