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Izvestiya: Mathematics, 2021, Volume 85, Issue 6, Pages 1181–1219
DOI: https://doi.org/10.1070/IM8937 (Mi im8937) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Models of set theory in which the separation theorem fails

V. G. Kanovei, V. A. Lyubetsky

Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
English version PDF (916 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM8937
Abstract: We use a finite-support product of Jensen-minimal forcings to define a model of set theory in which the separation theorem fails for the projective classes $\mathbf{\Sigma}^1_n$ and $\mathbf{\Pi}^1_n$, for a given $n\geqslant3$.
Keywords: separability, models, Jensen forcing, iteration.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00670
This paper was written with the support of RFBR (grant no. 20-01-00670).
Received: 28.05.2019
Revised: 21.07.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 6, Pages 164–204
DOI: https://doi.org/10.4213/im8937
Bibliographic databases:
Document Type: Article
UDC: 510.225
MSC: 03E15, 03E35
Language: English
Original paper language: Russian
Citation: V. G. Kanovei, V. A. Lyubetsky, “Models of set theory in which the separation theorem fails”, Izv. RAN. Ser. Mat., 85:6 (2021), 164–204; Izv. Math., 85:6 (2021), 1181–1219
Citation in format AMSBIB
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\paper Models of set theory in which the separation theorem fails
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\pages 164--204
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  • https://www.mathnet.ru/eng/im/v85/i6/p164
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:95
    English version PDF:38
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    References:34
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