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No Jónsson filters over ℵω

Published online by Cambridge University Press:  12 March 2014

Jan Tryba
Jan Tryba*
Affiliation:
Department of Mathematics, Gdańsk University, 80-952 Gdańsk, Poland
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Abstract

Answering a question of A. Kanamori, we prove that there is no Jónsson filter over the least Jónsson cardinal. We also notice that, assuming □κ, the successor κ+ cannot be Jónsson.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 52 , Issue 1 , March 1987 , pp. 51 - 53
Copyright
Copyright © Association for Symbolic Logic 1987

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References

REFERENCES

[1] Kanamori, A., Ultrafilters over a measurable cardinal, Annals of Mathematical Logic, vol. 11 (1976), pp. 315–356.CrossRefGoogle Scholar
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[4] Tryba, J., Rowbottom-type properties and a cardinal arithmetic, Proceedings of the American Mathematical Society, vol. 96 (1986), pp. 661–667.CrossRefGoogle Scholar