English

Invariant types in NIP theories

Logic 2015-11-10 v2

Abstract

We study invariant types in NIP theories. Amongst other things: we prove a definable version of the (p,q)-theorem in theories of small or medium directionality; we construct a canonical retraction from the space of M-invariant types to that of M-finitely satisfiable types; we show some amalgamation results for invariant types and list a number of open questions.

Keywords

Cite

@article{arxiv.1401.6715,
  title  = {Invariant types in NIP theories},
  author = {Pierre Simon},
  journal= {arXiv preprint arXiv:1401.6715},
  year   = {2015}
}

Comments

Small changes made

R2 v1 2026-06-22T02:55:06.517Z