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Title: Measurable cardinals in some Gödelian set theories (English)
Author: Hrbáček, Karel
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 7
Issue: 3
Year: 1966
Pages: 343-358
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Category: math
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MSC: 02-68
idZBL: Zbl 0158.26201
idMR: MR0209146
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Date available: 2008-06-05T20:23:13Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105068
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Reference: [1] K. GÖDEL: The Consistency of the Axiom of Choice....Princeton University Press, 2nd printing 1951.
Reference: [2] P. HÁJEK: Syntactic models of axiomatic theories.Bull. Acad. Polon. Sci. 13 (1965), No 4, 273-278. MR 0184857
Reference: [3] A. HAJNAL: On a consistency theorem connected with the generalized continuum problem.Acta Math. Acad. Sci. Hungar. 12 (1961), 321-376. Zbl 0102.25001, MR 0150046
Reference: [4] A. LÉVY: A generalization of Gödel's notion of constructibility.Journ. Symb. Logic 25 (1960), No 2, 147-155. Zbl 0119.25204, MR 0142468
Reference: [5] A. LÉVY: Measurable cardinals and the continuum hypothesis.Notices Amer. Math. Soc. 11 (1964), No 7, iss. 78, 769.
Reference: [6] K. PŘÍKRÝ: The consistency of the continuum hypothesis for the first measurable cardinal.Bull. Acad. Polon. Sci. 13 (1965), No 3, 193-197. MR 0181575
Reference: [7] J. R. SHOENFIELD: On the independence of the axiom of constructibility.Amer. Journ. of Math. 81 (1959), 537-540. Zbl 0201.32702, MR 0106833
Reference: [8] R. M. SOLOVAY: Measurable cardinals and the continuum hypothesis.(printed thesis), mimeographed. Zbl 0289.02044
Reference: [9] P. VOPĚNKA: The limits of sheaves and application on construction of models.Bull. Acad. Polon. Sci. 13 (1965), No 3, 189-192. MR 0182570
Reference: [10] P. VOPĚNKA: On $\nabla $-model of set theory.Bull. Acad. Polon. Sci. 13 (1965), No 4, 267-272. MR 0182571
Reference: [11] P. VOPĚNKA: Properties of $\nabla $-model.Bull. Acad. Polon. Sci. 13 (1965), No 7, 441-444. MR 0189984
Reference: [12] P. VOPĚNKA: $\nabla $-models in which the generalized continuum hypothesis does not hold.Bull. Acad. Polon. Sci. 14 (1966), No 3, 95-99. MR 0200142
Reference: [13] P.VOPĚNKA, P. HÁJEK.: Permutation submodels of the model $\nabla $.Bull. Acad. Polon. Sci. 13 (1965), No 9, 611 -614. Zbl 0143.25805, MR 0194320
Reference: [14] P. HÁJEK, P. VOPĚNKA: Some permutation submodels of the model $\nabla $.Bull. Acad. Polon. Sci. 14 (1966), No 1, 1-7. MR 0194321
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