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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1341–1350
DOI: https://doi.org/10.17377/smzh.2015.56.611 (Mi smj2717) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Generalization of one construction by Solovay

V. G. Kanoveiab, V. A. Lyubetskya

a Institute for Information Transmission Problems, Moscow, Russia
b Institute of Economics and Finance, Moscow, Russia
Full-text PDF (310 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2015.56.611
Abstract: The well-known $\Sigma$-construction in forcing by Solovay is generalized to the case of intermediate sets that are not subsets of the initial model. Our method gives a more transparent construction of a forcing over an intermediate model than that in the classical paper [1] by Grigorieff on intermediate models.
Keywords: intermediate model, sigma-construction, forcing.
Received: 12.09.2014
Revised: 24.07.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1072–1079
DOI: https://doi.org/10.1134/S0037446615060117
Bibliographic databases:
Document Type: Article
UDC: 510.223
Language: Russian
Citation: V. G. Kanovei, V. A. Lyubetsky, “Generalization of one construction by Solovay”, Sibirsk. Mat. Zh., 56:6 (2015), 1341–1350; Siberian Math. J., 56:6 (2015), 1072–1079
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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