Israel Journal of Mathematics

, Volume 40, Issue 3–4, pp 193–196

A few remarks on Rowbottom cardinals

  • Jan Tryba

DOI: 10.1007/BF02761361

Cite this article as:
Tryba, J. Israel J. Math. (1981) 40: 193. doi:10.1007/BF02761361


It is proved that every regular Rowbottom cardinal which is greater than the continuum is strongly inaccessible. We notice that the theory “ZFC + every cardinal of cofinality ω is Rowbottom” is inconsistent. This answers a question raised by C. C. Chang and H. J. Keisler.

Copyright information

© The Weizmann Science Press of Israel 1981

Authors and Affiliations

  • Jan Tryba
    • 1
  1. 1.Department of MathematicsGdańsk UniversityGdańskPoland

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