18 citations · 56 across the 19 of their papers we have counts for
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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.LO2022
From Ramsey degrees to Ramsey expansions via weak amalgamation
Dragan Mašulović, Andy Zucker
Under no additional assumptions, in this paper we construct a Ramsey expansion for every category of finite objects with finite small Ramsey degrees. Our construction is based on t…
math.DS2022★ 1 cited
Minimal subdynamics and minimal flows without characteristic measures
Joshua Frisch, Brandon Seward, Andy Zucker
Given a countable group and a -flow , a measure is called characteristic if it is -invariant. Frisch and Tamuz asked about the existence o…