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Model Theory Seminar
Will Boney Mathematical Sciences, Carnegie Mellon Title: Categoricity in $L_{kappa, omega}$ when $kappa$ is strongly compact, Part 5 Abstract: In this series of talks, I will present a result of Makkai and Shelah that is an analogue to Morley s theorem in $L_{kappa, omega}$. This requires using $kappa$ being strongly compact, which says that any collection of sentences from $L_{kappa, kappa}$ is consistent if every $< kappa$ sized subset of it is consistent. The proof of this is much different than the proof of Morley s theorem and goes through a concept called forking, which is an important extension of splitting.The talks are based on a 56 page paper by Makkai and Shelah, a copy is available from Rami. Date: Wednesday, October 20, 2010 Time: 3:30 pm Location: Wean Hall 8220 Submitted by: Rami Grossberg |