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2017•Mathematical logic quarterlyOpen access

On the reducibility of isomorphism relations

Tapani Hyttinen, Miguel Moreno

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Abstract

Abstract We study the Borel reducibility of isomorphism relations in the generalized Baire space . In the main result we show for inaccessible κ, that if T is a classifiable theory and is stable with the orthogonal chain property (OCP), then the isomorphism of models of T is Borel reducible to the isomorphism of models of .

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Abstract We study the Borel reducibility of isomorphism relations in the generalized Baire space . In the main result we show for inaccessible κ, that if T is a classifiable theory and is stable with the orthogonal chain property (OCP), then the isomorphism of models of T is Borel reducible to the isomorphism of models of .

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Available abstract

Abstract We study the Borel reducibility of isomorphism relations in the generalized Baire space . In the main result we show for inaccessible κ, that if T is a classifiable theory and is stable with the orthogonal chain property (OCP), then the isomorphism of models of T is Borel reducible to the isomorphism of models of .

Key concepts: Isomorphism (crystallography), Mathematics, Isomorphism extension theorem, Baire space, Space (punctuation), Pure mathematics, Borel equivalence relation, Borel set

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