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Matematicheskie Zametki, 2017, Volume 102, Issue 3, Pages 369–382
DOI: https://doi.org/10.4213/mzm10842 (Mi mzm10842) 		 
This article is cited in 18 scientific papers (total in 18 papers)

A Countable Definable Set Containing no Definable Elements

V. G. Kanoveiab, V. A. Lyubetskiia

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b Russian University of Transport
Full-text PDF (651 kB) Citations (18)
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DOI: https://doi.org/10.4213/mzm10842
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.
Keywords: countable sets, definable elements, Jensen's forcing.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00006
17-01-00705
Russian Science Foundation 14-50-00150
The work of V. G. Kanovei was supported by the Russian Foundation for Basic Research under grants 13-01-00006 and 17-01-00705. The work of V. A. Lyubetsky was supported by the Russian Science Foundation under grant 14-50-00150.
Received: 16.06.2015
Revised: 14.04.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 3, Pages 338–349
DOI: https://doi.org/10.1134/S0001434617090048
Bibliographic databases:
Document Type: Article
UDC: 510.225+510.223
Language: Russian
Citation: V. G. Kanovei, V. A. Lyubetskii, “A Countable Definable Set Containing no Definable Elements”, Mat. Zametki, 102:3 (2017), 369–382; Math. Notes, 102:3 (2017), 338–349
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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