19 citations · 120 across the 58 of their papers we have counts for
5 papers · 2 filters
The Urysohn sphere is pseudofinite
Isaac Goldbring, Bradd Hart
We show that the Urysohn sphere is pseudofinite. As a consequence, we derive an approximate - law for finite metric spaces of diameter at most .
Scattered Sentences have Few Separable Randomizations
Uri Andrews, Isaac Goldbring, Sherwood Hachtman +2
In the paper "Randomizations of Scattered Sentences", Keisler showed that if Martin's axiom for aleph one holds, then every scattered sentence has few separable randomizations, and…
Algebraic Independence Relations in Randomizations
Uri Andrews, Isaac Goldbring, H. Jerome Keisler
We study the properties of algebraic independence and pointwise algebraic independence in a class of continuous theories, the randomizations of complete first order theories…
Definable sets containing productsets in expansions of groups
Uri Andrews, Gabriel Conant, Isaac Goldbring
We consider the question of when sets definable in first-order expansions of groups contain the product of two infinite sets (we refer to this as the "productset property"). We fir…
Explicit sentences distinguishing McDuff's II factors
Isaac Goldbring, Bradd Hart, Henry Towsner
Recently, Boutonnet, Chifan, and Ioana proved that McDuff's examples of continuum many pairwise non-isomorphic separable II factors are in fact pairwise non-elementarily equiva…