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Adian 90: Conference on Mathematical Logic, Algebra, and Computation
July 7, 2021 12:45–13:30, Moscow, Steklov Mathematical Institute of RAS (Moscow) and online in Zoom
 


Paradoxical partitions of the reals by Robert Solovay

V. G. Kanovei

Institute of Information Transmission Problems, Moscow
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MP4 174.2 Mb

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Abstract: It holds in some generic extensions of the constructible universe $L$ (those by a single Sacks, Silver, Miller, Laver real) that there exists an OD (ordinal-definable) partition of the reals into two non-OD parts. The result for the Sacks extensions was announced by Solovay in 2002 but never published. The proofs combine forcing and descriptive set theoretic methods.

Language: English

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