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December 2013 Analytic equivalence relations and the forcing method
Jindřich Zapletal
Bull. Symbolic Logic 19(4): 473-490 (December 2013). DOI: 10.2178/bsl.1904020

Abstract

I describe several ways in which forcing arguments can be used to yield clean and conceptual proofs of nonreducibility, ergodicity and other results in the theory of analytic equivalence relations. In particular, I present simple Borel equivalence relations $E, F$ such that a natural proof of nonreducibility of $E$ to $F$ uses the independence of the Singular Cardinal Hypothesis at $\aleph_\omega$.

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Jindřich Zapletal. "Analytic equivalence relations and the forcing method." Bull. Symbolic Logic 19 (4) 473 - 490, December 2013. https://doi.org/10.2178/bsl.1904020

Information

Published: December 2013
First available in Project Euclid: 5 January 2014

zbMATH: 1326.03061
MathSciNet: MR3157161
Digital Object Identifier: 10.2178/bsl.1904020

Subjects:
Primary: 03E40

Rights: Copyright © 2013 Association for Symbolic Logic

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Vol.19 • No. 4 • December 2013
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