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Matematicheskie Zametki, 2015, Volume 98, Issue 2, Pages 247–257
DOI: https://doi.org/10.4213/mzm10415 (Mi mzm10415) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model

V. G. Kanovei, V. A. Lyubetskii

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm10415
Abstract: Two dichotomy theorems on the effective $\sigma$-boundedness and effective $\sigma$-compactness of ordinal definable point sets in Solovay's model are proved.
Keywords: Solovay's model, effective $\sigma$-boundedness, effective $\sigma$-compactness, descriptive set theory.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00006
Russian Science Foundation 14-50-00150
The work of the first author was supported by the Russian Foundation for Basic Research under grant 13-01-00006 and that of the second author, by the Russian Science Foundation under grant 14-50-00150.
Received: 27.09.2013
Revised: 03.03.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 2, Pages 273–282
DOI: https://doi.org/10.1134/S0001434615070299
Bibliographic databases:
Document Type: Article
UDC: 510.225
Language: Russian
Citation: V. G. Kanovei, V. A. Lyubetskii, “On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model”, Mat. Zametki, 98:2 (2015), 247–257; Math. Notes, 98:2 (2015), 273–282
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10415
  • https://www.mathnet.ru/eng/mzm/v98/i2/p247
    • This publication is cited in the following 1 articles:
    1. Lyubetsky V.A., Seliverstov A.V., “A novel algorithm for solution of a combinatory set partitioning problem”, J. Commun. Technol. Electron., 61:6 (2016), 705–708  crossref  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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