A few remarks on Rowbottom cardinals
- 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.