Séminaires : Théorie des modèles et groupes

Equipe(s) : lm,
Responsables :Z. Chatzidakis, F. Oger, F. Point
Email des responsables : zoe.chatzidakis@imj-prg.fr
Salle : 1013
Adresse :Salle 1013

Pour recevoir le programme, écrivez à oger_at_math.univ-paris-diderot.fr
Le mardi à 16h00 en salle  1013 (Sophie Germain) - http://semgrp.imj-prg.fr pour plus de renseignements.

Orateur(s) Martin Bays - Münster,
Titre Density of compressiblity in NIP theories
Horaire16:00 à 17:30
RésumeJoint with Itay Kaplan and Pierre Simon.

Distal theories are NIP theories which are “wholly unstable”. Chernikov and Simon's “strong honest definitions” characterise distal theories as those in which every type is compressible. Adapting recent work in machine learning of Chen, Cheng, and Tang on bounds on the “recursive teaching dimension” of a finite concept class, we find that compressibility is dense in NIP structures, i.e. any formula can be completed to a compressible type in S(A). Considering compressibility as an isolation notion (which specialises to l-isolation in stable theories), we obtain consequences on the existence of models with certain properties.
AdresseSalle 1013