Ultraproducts and metastability

Jeremy Avigad, José Iovino

New York Journal of Mathematics 19 (2013) 713-727

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.

José Iovino

Associate Professor

(210) 458-5531

FLN 4.01.13

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