Ultraproducts and metastability

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Abstract

Given a convergence theorem in analysis, under very general conditions a model-theoretic compactness argument implies that there is a uniform bound on the rate of metastability. We illustrate with three examples from ergodic theory

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Jeremy Avigad
Carnegie Mellon University

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Categorical semantics of metric spaces and continuous logic.Simon Cho - 2020 - Journal of Symbolic Logic 85 (3):1044-1078.

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