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Article

Title: Families of sets and functions (English)
Author: Solomon, R. C.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 27
Issue: 4
Year: 1977
Pages: 556-559
Summary lang: Russian
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Category: math
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MSC: 02K05
MSC: 04A20
idZBL: Zbl 0383.04002
idMR: MR0457218
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Date available: 2008-06-09T14:25:28Z
Last updated: 2016-04-06
Stable URL: http://hdl.handle.net/10338.dmlcz/101493
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Reference: [1] A. S. Besicovitch: Concentrated and rarified sets of points.Acta Math. Stock. 62 (1934), 289-300. Zbl 0009.10504, MR 1555386
Reference: [2] D. Booth: Ultrafilters on acountable set.Annals of Math. Logic 2 (1970), 1 - 24. MR 0277371, 10.1016/0003-4843(70)90005-7
Reference: [3] F. Hausdorff: Summen von $\aleph_1$ Mengen.Fund. Math. 26 (1936), 241-255. Zbl 0014.05402
Reference: [4] S. H. Hechler: On the existence of certain cofinal subsets of $^\omega \omega$.to appear in Axiomatic Set Theory, Proceedings of Symposia in Pure Mathematics 13 pt. 2, ed. T. J. Jech, American Mathematical Society, Providence, Rhode Island. MR 0360266
Reference: [5] T. J. Jech: Lectures in set-theory with particular emphasis on the method of forcing.Lect. Notes Math. 217, Springer-Verlag, Berlin 1971. Zbl 0236.02048, MR 0321738
Reference: [6] С. A. Rogers: Hausdorff measures.Cambridge University Press, 1970. Zbl 0204.37601, MR 0281862
Reference: [7] F. Rothberger: Sur les familles indénombrables de suites de nombres naturelles et les problèmes concernant la propriété C.Proc. Cam. Phil. Soc. 37 (1941), 109-126. MR 0004281
Reference: [8] F. Rothberger: On some problems of Hausdorff and Sierpinski.Fund. Math. 35 (1948), 29-46. MR 0029958
Reference: [9] F. Rothberger: On the property С and a problem of Hausdorff.Canad. J. Math 4 (1952), 111-116. MR 0051898, 10.4153/CJM-1952-010-8
Reference: [10] W. Rudin: Homogeneity problems in the theory of Čech compactifications.Duke Math. J. 23 (1956), 409-419. Zbl 0073.39602, MR 0080902, 10.1215/S0012-7094-56-02337-7
Reference: [11] R. С. Solomon: Ultrafilters and ultraproducts.Ph. D. Thesis, London 1972.
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