19 citations · 120 across the 58 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
The fundamental group of a locally finite graph with ends: a hyperfinite approach
Isaac Goldbring, Alessandro Sisto
The end compactification |Γ| of the locally finite graph Γis the union of the graph and its ends, endowed with a suitable topology. We show that π_1(|Γ|) embeds into a nonstandard…