Abstract
We prove that the Solovay set Σ is absolutely definable in a sufficiently wide sense; in particular, Σ does not depend on the choice of the ground model.
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The authors are indebted to the anonymous referee for the valuable remarks that made it possible to expand and improve the exposition, in particular, to add Question 7.
Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 6, pp. 1286–1290.
V. G. Kanovei was supported by the Russian Foundation for Basic Research (Grant 17-01-00705). V. A. Lyubetsky was supported by the Russian Foundation for Basic Research (Grant 18—29—13037).
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Kanovei, V.G., Lyubetsky, V.A. Absoluteness of the Solovay Set Σ. Sib Math J 60, 1003–1006 (2019). https://doi.org/10.1134/S0037446619060089
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DOI: https://doi.org/10.1134/S0037446619060089