Model Theory Seminar

Roy Jiang
Carnegie Mellon University
Title: Many models for unstable first-order theory, part 3

Abstract: In this sequence of lecture I will prove Shelah's celebrated

Theorem. Let T be a first-order theory and \lambda be an uncountable cardinal satisfying \lambda >= |T|. If T is unstable then I(\lambda,T)=2^\lambda.

For the proof we will construct many "complicated" linear orders, we will take Skolem hulls of such orders and if I(\lambda,T)<2^\lambda using combinatorial set theory we will construct large families of almost disjoint sets and will use them to code stationary sets into isomorphism types of models for T.

Date: Monday, November 12, 2012
Time: 5:00 pm
Location: Wean 8220
Submitted by:  Grossberg