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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2019 Volume 60, Number 6, Pages 1286–1290 (Mi smj3149)
Absoluteness of the solovay set Σ

V. G. Kanovei, V. A. Lyubetskii

Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow

Abstract: We prove that the Solovay set ОЈ is absolutely definable in a sufficiently wide sense; in particular, ОЈ does not depend on the choice of the ground model.

UDC: 510.223+510.225

Received: 19.12.2018
Revised: 10.04.2019
Accepted: 15.05.2019

DOI: 10.33048/smzh.2019.60.608


 English version: Siberian Mathematical Journal, 2019, 60:6, 1003–1006

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© Steklov Math. Inst. of RAS, 2025