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math.LO2012★ 1 cited
The theory of tracial von Neumann algebras does not have a model companion
Isaac Goldbring, Bradd Hart, Thomas Sinclair
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, McDu…
math.LO2012
Transseries and Todorov-Vernaeve's asymptotic fields
Matthias Aschenbrenner, Isaac Goldbring
We study the relationship between fields of transseries and residue fields of convex subrings of non-standard extensions of the real numbers. This was motivated by a question of To…
math.LO2012
Nonstandard hulls of locally uniform groups
Isaac Goldbring
We present a nonstandard hull construction for locally uniform groups in a spirit similar to Luxembourg's construction of the nonstandard hull of a uniform space. Our nonstandard h…