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KEISLER’S ORDER IS NOT LINEAR, ASSUMING A SUPERCOMPACT
Published online by Cambridge University Press: 01 August 2018
Abstract
We show that if there is a supercompact cardinal, then Keisler’s order is not linear. More specifically, let Tn,k be the theory of the generic n-clique free k-ary graph for any n > k ≥ 3, and let TCas be the simple nonlow theory described by Casanovas in [2]. Then we show that TCas$$Tn,k always, and if there is a supercompact cardinal then Tn,k$$TCas.
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- Copyright © The Association for Symbolic Logic 2018
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