Enviar artigo por via de e-mail Definable Elements of Definable Borel Sets
- Autores: Kanovei V.G.1, Lyubetsky V.A.1
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Afiliações:
- Institute for Information Transmission Problems of Russian Academy of Sciences
- Edição: Volume 105, Nº 5-6 (2019)
- Páginas: 684-693
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151730
- DOI: https://doi.org/10.1134/S0001434619050055
- ID: 151730
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Resumo
We prove that it is true in Sacks, Cohen, and Solovay generic extensions that any ordinal definable Borel set of reals necessarily contains an ordinal definable element. This result has previously been known only for countable sets.
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Sobre autores
V. Kanovei
Institute for Information Transmission Problems of Russian Academy of Sciences
Autor responsável pela correspondência
Email: kanovei@iitp.ru
Rússia, Moscow, 127051
V. Lyubetsky
Institute for Information Transmission Problems of Russian Academy of Sciences
Autor responsável pela correspondência
Email: lyubetsk@iitp.ru
Rússia, Moscow, 127051
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