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ON UNSUPERSTABLE THEORIES IN GDST
Published online by Cambridge University Press: 06 November 2023
Abstract
We study the $\kappa $-Borel-reducibility of isomorphism relations of complete first-order theories by using coloured trees. Under some cardinality assumptions, we show the following: For all theories T and T’, if T is classifiable and T’ is unsuperstable, then the isomorphism of models of T’ is strictly above the isomorphism of models of T with respect to $\kappa $-Borel-reducibility.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic