Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 2214

Preprint Number 2214

Previous Next Preprint server

2214. Kyle Gannon, Jinhe Ye
An invitation to extension domination

Submission date: 17 July 2022


Motivated by the theory of domination for types, we introduce a notion of domination for Keisler measures called extension domination. We argue that this variant of domination behaves similarly to its type setting counterpart. We prove that extension domination extends domination for types and that it forms a preorder on the space of global Keisler measures. We then explore some basic properties related to this notion (e.g. approximations by formulas, closure under localizations, convex combinations). We also prove a few preservation theorems and provide some explicit examples.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2207.08238: pdf, ps.

Last updated: August 1 2022 11:36 Please send your corrections to: