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Ultrafilters and independent sets. (English) Zbl 0263.02033


MSC:

03E50 Continuum hypothesis and Martin’s axiom
03C30 Other model constructions
03E05 Other combinatorial set theory
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References:

[1] C. C. Chang and H. J. Keisler, Model theory, North-Holland, New York (to appear). · Zbl 0276.02032
[2] R. Engelking and M. Karłowicz, Some theorems of set theory and their topological consequences, Fund. Math. 57 (1965), 275 – 285. · Zbl 0137.41904
[3] G. Fichtenholz and L. Kantorovitch, Sur les opérations linéairs dans l’espace des fonctions bornées, Studia Math. 5 (1934), 69-98. · JFM 60.1074.05
[4] F. Hausdorff, Über zwei Sätze von G. Fichtenholz und L. Kantorovitch, Studia Math. 6 (1936), 18-19. · JFM 62.1064.01
[5] Kenneth Kunen, Some applications of iterated ultrapowers in set theory, Ann. Math. Logic 1 (1970), 179 – 227. · Zbl 0236.02053
[6] K. Kunen and J. B. Paris, Boolean extensions and measurable cardinals, Ann. Math. Logic 2 (1970/1971), no. 4, 359 – 377. · Zbl 0216.01402
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[8] Saharon Shelah, Every two elementarily equivalent models have isomorphic ultrapowers, Israel J. Math. 10 (1971), 224 – 233. · Zbl 0224.02045
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