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arxiv: 1509.05291 · v1 · pith:F5JXMRGVnew · submitted 2015-09-17 · 🧮 math.LO

On the reducibility of isomorphism relations

classification 🧮 math.LO
keywords isomorphismkappaborelmodelsreducibilityrelationsbaireclassifiable
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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 $T'$.

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