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Model Theory Seminar
Daniel Rodriguez Mathematical Sciences, Carnegie Mellon University Title: Two one-gap cardinal transfer theorems, Part 1 Abstract: I will deal with the converse of Vaught's two cardinal theorem, namely verifying (aleph_1,aleph_0)-->(lambda^+,lambda)I will present (1) Chang's two-cardinal theorem that establishes the above (under GCH) for all regular lambda using a generalization of saturation, and(2) Jensen's proof using square (and GCH) that the above holds also for singular lambda, this involves special models and a two dimensional construction. Date: Monday, February 21, 2011 Time: 5:00 pm Location: Wean Hall 8220 Submitted by: Grossberg |