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- Isaac Goldbring
- 2007

We solve Hilbert's fifth problem for local groups: every locally euclidean local group is locally isomorphic to a Lie group. Jacoby claimed a proof of this in 1957, but this proof is seriously… (More)

- Isaac Goldbring, Bradd Hart, Thomas Sinclair
- J. Symb. Log.
- 2012

In this note, we show that the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fact that the theory of any locally universal, McDuff II_1 factor does… (More)

We present a logical framework for formalizing connections between finitary combinatorics and measure theory or ergodic theory that have appeared in various places throughout the literature. We… (More)

- Clifton F. Ealy, Isaac Goldbring
- J. Symb. Log.
- 2009

We study thorn forking and rosiness in the context of continuous logic. We prove that the Urysohn sphere is rosy (with respect to finitary imaginaries), providing the first example of an essentially… (More)

Abstract Kirchberg's Embedding Problem (KEP) asks whether every separable C ⁎ algebra embeds into an ultrapower of the Cuntz algebra O 2 . In this paper, we use model theory to show that this… (More)

We examine the properties of existentially closed (R-embeddable) II1 factors. In particular, we use the fact that every automorphism of an existentially closed (R-embeddable) II1 factor is… (More)

- Isaac Goldbring, Henry Towsner
- Arch. Math. Log.
- 2014

We show that any countable model of a model complete theory has an elementary extension with a “pseudofinite-like” quasi-dimension that detects dividing.

- Isaac Goldbring
- 2009

Abstract Answering a question of P. Bankston, we show that the pseudoarc is a co-existentially closed continuum. We also show that C ( X ) , for X a nondegenerate continuum, can never have quantifier… (More)

Erd\H{o}s conjectured that for any set $A\subseteq \mathbb{N}$ with positive lower asymptotic density, there are infinite sets $B,C\subseteq \mathbb{N}$ such that $B+C\subseteq A$. We verify… (More)