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A saturation property on ideals. (English) Zbl 0384.03034

##### MSC:
 03E55 Large cardinals 03C50 Models with special properties (saturated, rigid, etc.)
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##### References:
 [1] J. Baumgartner : Almost disjoint sets, the dense set problem, and the partition calculus . Ann. Math. Logic. 10 (1976) 401-439. · Zbl 0339.04003 [2] P. Erdös and R. Rado : A partition calculus in set theory . Bull. Amer. Math. Soc. 62 (1956) 427-489. · Zbl 0071.05105 [3] P. Erdös and R. Rado : Intersection theorems for systems of sets . J. London Math. Soc. 35 (1960) 85-90. · Zbl 0103.27901 [4] A. Hajnal : Some results and problems in set theory . Acta Math. Acad. Sci. Hungar. 11 (1960) 277-298. · Zbl 0106.00901 [5] R. Jensen and K. Kunen : Some combinatorial properties of L and V, mimeographed . [6] K. Kunen : A partition theorem . Notices of the AMS 18 (1971) 425. [7] K. Kunen : Saturated Ideals . J. Symb. Logic, · Zbl 0395.03031 [8] K. Kunen and J. Paris : Boolean extensions and measurable cardinals . Ann. Math. Logic 2 (1971) 359-377. · Zbl 0216.01402 [9] R. Laver : Partition relations for uncountable cardinals \leq 2 N0 . Colloquia Mathmatica Societatis Janos Bolyai 10 (Infinite and finite sets, Keszthely [Hungary], 1973) North Holland, 1975, 1029-1042. · Zbl 0309.02071 [10] M. Marczewski : Séparabilité et multiplication cartésienne des espaces topologiques . Fund. Math. 34 (1947) 127-143. · Zbl 0032.19104 [11] K. Prikry : Changing measurable into accessible cardinals . Dissertationes Math. (Rozprawy Mat.) 68, 1970. · Zbl 0212.32404 [12] G. Sacks : Forcing with perfect closed sets . Proceedings of AMS Symposia in Pure Mathematics 13, Part 1, Providence, 1971, 331-355. · Zbl 0226.02047 [13] W. Sierpinski : Sur un problème de la théorie des relations . Ann. Scuola Norm. Sup. Pisa 2 (1933) 285-287. · JFM 59.0092.01 [14] R.M. Solovay : Real valued measurable cardinals . Proceedings of Symposia in pure mathematics, 13, Part 1, Providence, 1971, 397-428. · Zbl 0222.02078 [15] S. Ulam : Zur Masstheorie in der allgemeine Mengenlehre . Fund. Math. 16 (1930) 140-150. · JFM 56.0920.04 [16] S. Wagon : Decompositions of saturated ideals. Thesis , Dartmouth College, 1975.
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