Abstract
The consistency of the existence of a countable definable set of reals, containing no definable elements, is established. The model, where such a set exists, is obtained by means of a countable product of Jensen’s forcing with finite support.
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Original Russian Text © V. G. Kanovei, V. A. Lyubetsky, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 3, pp. 369–382.
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Kanovei, V.G., Lyubetsky, V.A. A countable definable set containing no definable elements. Math Notes 102, 338–349 (2017). https://doi.org/10.1134/S0001434617090048
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DOI: https://doi.org/10.1134/S0001434617090048