Two applications of topology to model theory

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Annals of Pure and Applied Logic 172 (5):102907 (2021)
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Abstract

By utilizing the topological concept of pseudocompactness, we simplify and improve a proof of Caicedo, Dueñez, and Iovino concerning Terence Tao's metastability. We also pinpoint the exact relationship between the Omitting Types Theorem and the Baire Category Theorem by developing a machine that turns topological spaces into abstract logics.

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10.1016/j.apal.2020.102907

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Citations of this work

On duality and model theory for polyadic spaces.Sam van Gool & Jérémie Marquès - 2024 - Annals of Pure and Applied Logic 175 (2):103388.

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References found in this work

Uncountable Dense Categoricity in Cats.Itay Ben-Yaacov - 2005 - Journal of Symbolic Logic 70 (3):829 - 860.
Omitting uncountable types and the strength of [0,1]-valued logics.Xavier Caicedo & José N. Iovino - 2014 - Annals of Pure and Applied Logic 165 (6):1169-1200.
Omitting types in logic of metric structures.Ilijas Farah & Menachem Magidor - 2018 - Journal of Mathematical Logic 18 (2):1850006.
Between Polish and completely Baire.Andrea Medini & Lyubomyr Zdomskyy - 2015 - Archive for Mathematical Logic 54 (1-2):231-245.

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