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An Introduction To Continuous Model Theory

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arxiv 2303.03969 v1 pith:UVDD2Y4L submitted 2023-03-07 math.OA math.LO

Bradd Hart This is my paper · ORCID
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abstract

We present an introduction to modern continuous model theory with an emphasis on its interactions with topics covered in this volume such as $C^*$-algebras and von Neumann algebras. The role of ultraproducts is highlighted and expositions of definable sets, imaginaries, quantifier elimination and separable categoricity are included.

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  1. The model theory of metric lattices: pseudofinite partition lattices

    math.CO 2025-07 conditional novelty 7.0 of 10

    Infinite pseudofinite limits of partition lattices have a definable Boolean sublattice of modular elements, and each element is determined by its set of modular selectors.

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