Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Combinatorial characterization of supercompact cardinals
HTML articles powered by AMS MathViewer

by M. Magidor PDF
Proc. Amer. Math. Soc. 42 (1974), 279-285 Request permission

Abstract:

It is proved that supercompact cardinals can be characterized by combinatorial properties which are generalizations of ineffability.
References
  • G. Fodor, On stationary sets and regressive functions, Acta Sci. Math. (Szeged) 27 (1966), 105–110. MR 200167
  • Thomas J. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic 5 (1972/73), 165–198. MR 325397, DOI 10.1016/0003-4843(73)90014-4
    • R. B. Jensen and K. Kunen, Some combinatorial properties of L and V (mimeographed).
  • M. Magidor, On the role of supercompact and extendible cardinals in logic, Israel J. Math. 10 (1971), 147–157. MR 295904, DOI 10.1007/BF02771565
    • T. K. Menas, A partition theorem for ${P_k}(\lambda )$ (mimeographed). W. Reinhardt and R. Solovay, Strong axioms of infinity and elementary embeddings (to appear).
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 02K35
  • Retrieve articles in all journals with MSC: 02K35
Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 279-285
  • MSC: Primary 02K35
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0327518-9
  • MathSciNet review: 0327518