Submission date: 7 September 2017

Abstract:

These notes are based on Appalachian Set Theory lectures given by M. Malliaris on November 5, 2016 with D. Casey as the official scribe. The aim of the lectures was to present the setup and some key arguments of “Cofinality spectrum problems in model theory, set theory and general topology” by Malliaris and Shelah. This provides a sketch of the proof that p = t and that SOP_2 theories are maximal in Keisler's Order.

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Full text arXiv 1709.02408: pdf, ps.