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On the reducibility of isomorphism relations (1509.05291v1)
Published 17 Sep 2015 in math.LO
Abstract: We study the Borel reducibility of isomorphism relations in the generalized Baire space $\kappa\kappa$. In the main result we show for inaccessible $\kappa$, that if $T$ is a classifiable theory and $T'$ is stable with OCP, then the isomorphism of models of $T$ is Borel reducible to the isomorphism of models of $T'$.