A saturation property on ideals

Richard Laver

Compositio Mathematica (1978)

  • Volume: 36, Issue: 3, page 233-242
  • ISSN: 0010-437X

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Laver, Richard. "A saturation property on ideals." Compositio Mathematica 36.3 (1978): 233-242. <http://eudml.org/doc/89369>.

@article{Laver1978,
author = {Laver, Richard},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {233-242},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {A saturation property on ideals},
url = {http://eudml.org/doc/89369},
volume = {36},
year = {1978},
}

TY - JOUR
AU - Laver, Richard
TI - A saturation property on ideals
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 36
IS - 3
SP - 233
EP - 242
LA - eng
UR - http://eudml.org/doc/89369
ER -

References

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  1. [1] J. Baumgartner: Almost disjoint sets, the dense set problem, and the partition calculus. Ann. Math. Logic.10 (1976) 401-439. Zbl0339.04003MR401472
  2. [2] P. Erdös and R. Rado: A partition calculus in set theory. Bull. Amer. Math. Soc.62 (1956) 427-489. Zbl0071.05105MR81864
  3. [3] P. Erdös and R. Rado: Intersection theorems for systems of sets. J. London Math. Soc.35 (1960) 85-90. Zbl0103.27901MR111692
  4. [4] A. Hajnal: Some results and problems in set theory. Acta Math. Acad. Sci. Hungar.11 (1960) 277-298. Zbl0106.00901MR150044
  5. [5] R. Jensen and K. Kunen: Some combinatorial properties of L and V, mimeographed. 
  6. [6] K. Kunen: A partition theorem. Notices of the AMS18 (1971) 425. 
  7. [7] K. Kunen: Saturated Ideals. J. Symb. Logic, Zbl0395.03031MR495118
  8. [8] K. Kunen and J. Paris: Boolean extensions and measurable cardinals. Ann. Math. Logic2 (1971) 359-377. Zbl0216.01402MR277381
  9. [9] R. Laver: Partition relations for uncountable cardinals ≤ 2 N0. Colloquia Mathmatica Societatis Janos Bolyai 10 (Infinite and finite sets, Keszthely [Hungary], 1973) North Holland, 1975, 1029-1042. Zbl0309.02071
  10. [10] M. Marczewski: Séparabilité et multiplication cartésienne des espaces topologiques. Fund. Math.34 (1947) 127-143. Zbl0032.19104MR21680
  11. [11] K. Prikry: Changing measurable into accessible cardinals. Dissertationes Math. (Rozprawy Mat.)68, 1970. Zbl0212.32404MR262075
  12. [12] G. Sacks: Forcing with perfect closed sets. Proceedings of AMS Symposia in Pure Mathematics 13, Part 1, Providence, 1971, 331-355. Zbl0226.02047MR276079
  13. [13] W. Sierpinski: Sur un problème de la théorie des relations. Ann. Scuola Norm. Sup. Pisa2 (1933) 285-287. Zbl0007.09702JFM59.0092.01
  14. [14] R.M. Solovay: Real valued measurable cardinals. Proceedings of Symposia in pure mathematics, 13, Part 1, Providence, 1971, 397-428. Zbl0222.02078MR290961
  15. [15] S. Ulam: Zur Masstheorie in der allgemeine Mengenlehre. Fund. Math.16 (1930) 140-150. Zbl56.0920.04JFM56.0920.04
  16. [16] S. Wagon: Decompositions of saturated ideals. Thesis, Dartmouth College, 1975. 

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