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Compressible Types in NIP Theories

Fields Institute via YouTube

Overview

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Explore compressible types in NIP theories in this 51-minute lecture from the Workshop on Trends in Pure and Applied Model Theory. Delve into topics such as VC-dimension, local compressibility, locally-isolated types, and UDTF. Examine rounded averages, local uniform honest definitions, and hypes. Investigate pseudofinite types, density of compressible types, and the relationship between compressibility and stability. Learn about compressibly constructible models and gain insight into the proof's underlying concepts. Presented by Itay Kaplan at the Fields Institute on July 29, 2021, this talk offers a comprehensive exploration of advanced model theory concepts.

Syllabus

Intro
Contents
VC-dimension and NIP
Local compressibility
Locally-isolated types and UDTFS
Getting rounded averages
Local uniform honest definitions
Hypes
Pseudofinite types
Density of compressible types
Under stability compressible = l-isolated
Compressibility as an isolation notion
Compressibly constructible models
Idea of the proof

Taught by

Fields Institute

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