Definable Elements of Definable Borel Sets
- 作者: Kanovei V.G.1, Lyubetsky V.A.1
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隶属关系:
- Institute for Information Transmission Problems of Russian Academy of Sciences
- 期: 卷 105, 编号 5-6 (2019)
- 页面: 684-693
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151730
- DOI: https://doi.org/10.1134/S0001434619050055
- ID: 151730
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详细
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.
作者简介
V. Kanovei
Institute for Information Transmission Problems of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: kanovei@iitp.ru
俄罗斯联邦, Moscow, 127051
V. Lyubetsky
Institute for Information Transmission Problems of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: lyubetsk@iitp.ru
俄罗斯联邦, Moscow, 127051
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