19 citations · 120 across the 58 of their papers we have counts for
4 papers · 1 filter
A nonstandard take on central sets
Isaac Goldbring
We present the basic theory of central subsets of semigroups from the nonstandard perspective. A key feature of this perspective is the replacement of the algebra of ultrafilters w…
Correspondences, Ultraproducts and Model Theory
Isaac Goldbring, Bradd Hart, Thomas Sinclair
We study correspondences of tracial von Neumann algebras from the model-theoretic point of view. We introduce and study an ultraproduct of correspondences and use this ultraproduct…
On supra-SIM sets of natural numbers
Isaac Goldbring, Steven Leth
We introduce the class of supra-SIM sets of natural numbers. We prove that this class is partition regular and closed under finite-embeddability. We also prove some results on sums…
Spectral gap and definability
Isaac Goldbring
We relate the notions of spectral gap for unitary representations and subfactors with definability of certain important sets in the corresponding structures. We give several applic…