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Producing measurable cardinals beyond κ

Published online by Cambridge University Press:  12 March 2014

E. M. Kleinberg
E. M. Kleinberg*
Affiliation:
State University of New York at Buffalo, Buffalo, New York 14214
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Abstract

In this paper we prove, under the assumption of a strong partition property for an uncountable cardinal κ, the existence of more than κ-many measurable cardinals greater than κ. Our proof involves so-called seminormal measures, and, along the way, we establish several key facts about such measures.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 3 , September 1981 , pp. 643 - 648
Copyright
Copyright © Association for Symbolic Logic 1981

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References

REFERENCES

[1]Henle, J. M. and Kleinberg, E. M., On ultrapowers of strong partition cardinals (to appear).Google Scholar
[2]Kleinberg, E. M., Strong partition properties for infinite cardinals, this Journal, vol. 35 (1970), pp. 410–428.Google Scholar
[3]Kleinberg, E. M., AD ⊢ tke ℵn, are Jonsson cardinals and ℵω is a Rowbottom cardinal”, Annals of Mathematical Logic, vol. 12(1977), pp. 229–248.CrossRefGoogle Scholar
[4]Martin, D. A. and Paris, J. B. (to appear).Google Scholar