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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 Hall 8220 Submitted by: Grossberg |