Model Theory Seminar

Roy Jiang
Carnegie Mellon University
Title: Many models for unstable first-order theory, part 1

Abstract: 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, October 29, 2012
Time: 5:00 pm
Location: Wean 8220
Submitted by:  Grossberg