9 citations · 11 across the 6 of their papers we have counts for
6 papers
Ultracoproducts and weak containment for flows of topological groups
Andy Zucker
We develop the theory of ultracoproducts and weak containment for flows of arbitrary topological groups. This provides a nice complement to corresponding theories for p.m.p. action…
Ramsey theorem for trees with successor operation
Martin Balko, David Chodounský, Natasha Dobrinen +4
We prove a general Ramsey theorem for trees with a successor operation. This theorem is a common generalization of the Carlson-Simpson Theorem and the Milliken Tree Theorem for reg…
Type-respecting amalgamation and big Ramsey degrees
Andrés Aranda, Samuel Braunfeld, David Chodounský +4
We give an infinitary extension of the Nešetřil-Rödl theorem for category of relational structures with special type-respecting embeddings.
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…
Thick, syndetic, and piecewise syndetic subsets of Fraïssé structures
Andy Zucker
We define and undertake a systematic study of thick, syndetic, and piecewise syndetic subsets of a Fraïssé structure. Each of these collections forms a family in the sense of Akin…
Topological Dynamics of Closed Subgroups of
Andy Zucker
For a closed subgroup of , we provide an explicit characterization of the greatest -ambit. Using this, we provide a precise characterization of when has metr…