CMU Campus
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 2

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 28, 2011
Time: 5:00 pm
Location: Wean Hall 8220
Submitted by:  Grossberg