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Notes on Cofinality Spectrum Problems

2017/09/07 by David Casey, Casey, David, M. Malliaris +1
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1709.02408

openalex publication_date 2017/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \mathfrakp = \mathfrakt and that SOP2 theories are maximal in Keisler's Order.

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