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ON UNSUPERSTABLE THEORIES IN GDST
- Part of
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- Journal:
- The Journal of Symbolic Logic , First View
- Published online by Cambridge University Press:
- 06 November 2023, pp. 1-27
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- Article
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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.
