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Iterated ultrapowers for the masses

Journal article
Authors Ali Enayat
Matt Kaufmann
Zachiri McKenzie
Published in Archive for mathematical logic
Volume 57
Issue 5-6, August 2018
Pages 557–576
ISSN 0933-5846
Publication year 2018
Published at Department of Philosophy, Linguistics and Theory of Science
Pages 557–576
Language en
Keywords Iterated ultrapower, Tight indiscernible sequence, Automorphism
Subject categories Logic, Mathematical logic


We present a novel, perspicuous framework for building iterated ultrapowers. Furthermore, our framework naturally lends itself to the construction of a certain type of order indiscernibles, here dubbed tight indiscernibles, which are shown to provide smooth proofs of several results in general model theory.

Page Manager: Webmaster|Last update: 9/11/2012

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