# Article

 Title: Consistency theorems connected with some combinatorial problems (English) Author: Bukovský, Lev Language: English Journal: Commentationes Mathematicae Universitatis Carolinae ISSN: 0010-2628 (print) ISSN: 1213-7243 (online) Volume: 7 Issue: 4 Year: 1966 Pages: 495-499 . Category: math . MSC: 04-60 idZBL: Zbl 0158.26601 idMR: MR0207566 . Date available: 2008-06-05T20:23:50Z Last updated: 2012-04-27 Stable URL: http://hdl.handle.net/10338.dmlcz/105082 . Reference: [1] P. ERDÖS A. HAJNAL R. RADO: Partition relations for cardinal numbers.Acta Math. Acad. Sci. Hung., 16 (1965), 93-196. MR 0202613 Reference: [2] K. GÖDEL: The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory.Ann. of Math. Studies, Princeton 1940. Reference: [3] A. HAJNAL: On a consistency theorem connected with the generalized, continuum problem.Acta Math. Acad. Sci. Hung., 12 (1961), 321-376. Zbl 0102.25001, MR 0150046 Reference: [4] K. HRBÁČEK: Model $\nabla [\omega \sb{\alpha }\rightarrow \omega \sb{\beta }]$ in which $\beta$ is limit number.CMUC, 6 (1965), 439-442. MR 0200136 Reference: [5] J. MYCIELSKI: On the axiom of determinateness.Fund. Math., 53 (1964), 205-224. Zbl 0168.25101, MR 0161787 Reference: [6] P. VOPĚNKA: $\nabla$ -models in which the generalized continuum hypothesis does not hold.Bull. Acad. Sci. Polon., 14 (1966), 95-99. MR 0200142 .

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