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Matematicheskie Zametki, 1973, Volume 13, Issue 5, Pages 717–724 (Mi mzm7176)  

Singular cardinals

V. Kanovei

M. V. Lomonosov Moscow State University
Abstract: The problem is studied of the existence of nonconstructive subsets of cardinals belonging to an original countable standard transitive model of $ZF$ theory of sets that do not generate new subsets of smaller cardinals of this same model. It is found that a fairly extensive class of properties of the extended model is closely related to the corresponding properties of the original model.
Received: 28.12.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 5, Pages 429–433
DOI: https://doi.org/10.1007/BF01147473
Bibliographic databases:
UDC: 519.5
Language: Russian
Citation: V. Kanovei, “Singular cardinals”, Mat. Zametki, 13:5 (1973), 717–724; Math. Notes, 13:5 (1973), 429–433
Citation in format AMSBIB
\Bibitem{Kan73}
\by V.~Kanovei
\paper Singular cardinals
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 5
\pages 717--724
\mathnet{http://mi.mathnet.ru/mzm7176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=329891}
\zmath{https://zbmath.org/?q=an:0274.02039|0261.02041}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 5
\pages 429--433
\crossref{https://doi.org/10.1007/BF01147473}
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