5 citations · 13 across the 17 of their papers we have counts for
4 papers · 1 filter
Separation for isometric group actions and hyperimaginary independence
Gabriel Conant, James Hanson
We generalize P. M. Neumann's Lemma to the setting of isometric actions on metric spaces and use it to prove several results in continuous logic related to algebraic independence.…
Topometric characterization of type spaces in continuous logic
James Hanson
We show that a topometric space is topometrically isomorphic to a type space of some continuous first-order theory if and only if is compact and has an open metric (i.e., s…
Metric Spaces Are Universal for Bi-interpretation with Metric Structures
James Hanson
In the context of metric structures introduced by Ben Yaacov, Berenstein, Henson, and Usvyatsov, we exhibit an explicit encoding of metric structures in countable signatures as pur…
Keisler measures in the wild
Gabriel Conant, Kyle Gannon, James Hanson
We investigate Keisler measures in arbitrary theories. Our initial focus is on Borel definability. We show that when working over countable parameter sets in countable theories, Bo…