19 citations · 120 across the 58 of their papers we have counts for
4 papers · 1 filter
Definable Operators on Hilbert Spaces
Isaac Goldbring
Let H be an infinite-dimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exac…
Ends of groups: a nonstandard perspective
Isaac Goldbring
We give a nonstandard treatment of the notion of ends of proper geodesic metric spaces. We then apply this nonstandard treatment to Cayley graphs of finitely generated groups and g…
Globalizing locally compact local groups
Lou van den Dries, Isaac Goldbring
Every locally compact local group is locally isomorphic to a topological group.
Definable Functions in Urysohn's Metric Space
Isaac Goldbring
Let U denote the Urysohn sphere and consider U as a metric structure in the empty continuous signature. We prove that every definable function from U^n to U is either a projection…