Invariant types in NIP theories

Author:

Simon Pierre1

Affiliation:

1. CNRS, Institut Camille Jordan, Université Claude Bernard, Lyon I, 43 Boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex, France

Abstract

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

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

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1. Around definable types in p-adically closed fields;Annals of Pure and Applied Logic;2024-12

2. Glivenko–Cantelli classes and NIP formulas;Archive for Mathematical Logic;2024-06-03

3. A definable (p,q)-theorem for NIP theories;Advances in Mathematics;2024-01

4. Enriching a predicate and tame expansions of the integers;Journal of Mathematical Logic;2023-11-21

5. DEFINABLE -THEOREM FOR FAMILIES WITH VC-CODENSITY LESS THAN;The Journal of Symbolic Logic;2023-06-29

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