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Families of sets having property B. (English) Zbl 0468.04006

MSC:

03E05 Other combinatorial set theory
Full Text: DOI

References:

[1] J. E. Baumgartner, Almost-disjoint sets, the dense set problem and the partition calculus,Ann. Math. Logic 9 (1976), 401–439.MR 53 # 5299 · Zbl 0339.04003 · doi:10.1016/0003-4843(76)90018-8
[2] P. Erdos andA. Hajnal, On a property of families of sets,Acta Math Acad. Sci. Hungar. 12 (1961), 87–123.MR 27 # 50 · Zbl 0201.32801 · doi:10.1007/BF02066676
[3] P. Erdos andA. Hajnal, On chromatic number of graphs and set-systems,Acta Math. Acad. Sci. Hungar. 17 (1966), 61–99.MR 33 # 1247. · Zbl 0151.33701 · doi:10.1007/BF02020444
[4] P. Erdos andA. Hajnal, Unsolved problems in set theory,Axiomatic Set Theory (Proc. Sympos., Los Angeles, Calif., 1967), Amer. Math. Soc., Providence, R.I., 1971, 17–48.MR 43 # 6101
[5] P. Erdos andA. Hajnal, Unsolved and solved problems in set theory,Proceedings of the Tarski Symposium (Proc. Sympos., Berkeley, Calif., 1971), Amer. Math. Soc., Providence, R. I., 1974, 269–287.MR 50 # 9590
[6] P. Erdos, A. Hajnal andE. C. Milner, On the complete subgraphs of graphs defined by systems of sets,Acta Math. Acad. Sci. Hungar. 17 (1966), 159–229.MR 36 # 6298 · Zbl 0151.33702 · doi:10.1007/BF02020452
[7] E. W. Miller, On a property of families of sets,C. R. Soc. Sci. Varsovie 30 (1937), 31–38.Zbl 17, 300 · Zbl 0017.30003
[8] J. R. Shoenfield, Martin’s axiom,Amer. Math. Monthly 82 (1975), 610–617.MR 51 # 10087 · Zbl 0314.02069 · doi:10.2307/2319691
[9] N. H. Williams, Chain conditions and the existence of delta-families,Math. Proc. Cambridge Philos. Soc. 83 (1978), 167–179.MR 57 # 5760 · Zbl 0373.04003 · doi:10.1017/S0305004100054414
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