19 citations · 120 across the 58 of their papers we have counts for
7 papers · 1 filter
Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
Mauro Di Nasso, Isaac Goldbring, Martino Lupini
The goal of this present manuscript is to introduce the reader to the nonstandard method and to provide an overview of its most prominent applications in Ramsey theory and combinat…
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 .
Enforceable operator algebras
Isaac Goldbring
We adapt the classical notion of building models by games to the setting of continuous model theory. As an application, we study to what extent canonical operator algebras are enfo…
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…