Bulletin of Symbolic Logic

Analytic equivalence relations and the forcing method

Jindřich Zapletal

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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 $\aleph_\omega$.

Article information

Bull. Symbolic Logic, Volume 19, Issue 4 (2013), 473-490.

First available in Project Euclid: 5 January 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E40: Other aspects of forcing and Boolean-valued models


Zapletal, Jindřich. Analytic equivalence relations and the forcing method. Bull. Symbolic Logic 19 (2013), no. 4, 473--490. doi:10.2178/bsl.1904020. https://projecteuclid.org/euclid.bsl/1388953942

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