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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 6, Pages 1302–1305
DOI: https://doi.org/10.17377/smzh.2017.58.610 (Mi smj2939) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A generic property of the Solovay set $\Sigma$

V. G. Kanoveiab, V. A. Lyubetskya

a Institute for Information Transmission Problems, Moscow, Russia
b Russian University of Transport, Moscow, Russia
Full-text PDF (252 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2017.58.610
Abstract: We prove that the Solovay set $\Sigma$ is generic over the ground model in the sense of a forcing whose order relation extends the order relation of the given forcing.
Keywords: genericity, Solovay set $\Sigma$.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00006
17-01-00705
Russian Science Foundation 14-50-00150
V. G. Kanovei was supported by the Russian Foundation for Basic Research (Grants 13-01-00006 and 17-01-00705). V. A. Lyubetsky was supported by the Russian Science Foundation (Grant 14-50-00150).
Received: 02.11.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 6, Pages 1012–1014
DOI: https://doi.org/10.1134/S0037446617060106
Bibliographic databases:
Document Type: Article
UDC: 510.223+510.225
MSC: 35R30
Language: Russian
Citation: V. G. Kanovei, V. A. Lyubetsky, “A generic property of the Solovay set $\Sigma$”, Sibirsk. Mat. Zh., 58:6 (2017), 1302–1305; Siberian Math. J., 58:6 (2017), 1012–1014
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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