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On the cardinality of ultraproduct of finite sets

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah
Saharon Shelah*
Affiliation:
Hebrew University of Jerusalem
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Abstract

We shall prove that if is an ultrafilter and λ ℵ0 = λ. This affirms a conjecture of Keisler.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 35 , Issue 1 , March 1970 , pp. 83 - 84
Copyright
Copyright © Association for Symbolic Logic 1970

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References

[1] Frayne, T., Morel, A. and Scott, D., Reduced direct products, Fundamenta mathematicae, vol. 51 (1962), pp. 195–248.CrossRefGoogle Scholar
[2] Keisler, H. J., Ultraproducts of finite sets, this Journal, vol. 32 (1967), pp. 47–57.Google Scholar