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Proceedings of the American Mathematical Society

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Combinatorial characterization of supercompact cardinals

Author: M. Magidor
Journal: Proc. Amer. Math. Soc. 42 (1974), 279-285
MSC: Primary 02K35
MathSciNet review: 0327518
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Abstract: It is proved that supercompact cardinals can be characterized by combinatorial properties which are generalizations of ineffability.

References [Enhancements On Off] (What's this?)

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  • [2] Thomas J. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic 5 (1972/73), 165–198. MR 0325397
  • [3] R. B. Jensen and K. Kunen, Some combinatorial properties of L and V (mimeographed).
  • [4] M. Magidor, On the role of supercompact and extendible cardinals in logic, Israel J. Math. 10 (1971), 147–157. MR 0295904
  • [5] T. K. Menas, A partition theorem for $ {P_k}(\lambda )$ (mimeographed).
  • [6] W. Reinhardt and R. Solovay, Strong axioms of infinity and elementary embeddings (to appear).

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Article copyright: © Copyright 1974 American Mathematical Society