Department of         Mathematical Sciences Events People Colloquia and Seminars Conferences Centers Positions Areas of Research About the Department Alumni 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, 2011Time: 5:00 pmLocation: Wean Hall 8220Submitted by:  Grossberg