Proceedings of the American Mathematical Society

Author(s): Masahiro Shioya
Journal: Proc. Amer. Math. Soc. 134 (2006), 1819-1821.
MSC (2000): Primary 03E05, 03E55
Posted: October 28, 2005
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Abstract: Let $\kappa$ be a $\lambda$ -supercompact cardinal. We show that $\mathcal{P}_\kappa\lambda$ carries a normal ultrafilter with a property introduced by Menas. With it we give a transparent proof of Kamo's theorem that $\mathcal{P}_\kappa\lambda$ carries a normal ultrafilter with the partition property.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 03E05, 03E55

Masahiro Shioya
Affiliation: Institute of Mathematics, University of Tsukuba, Tsukuba, 305-8571 Japan
Email: shioya@math.tsukuba.ac.jp

DOI: 10.1090/S0002-9939-05-08161-X
PII: S 0002-9939(05)08161-X
Keywords: $\mathcal{P}_\kappa\lambda$, property $\sigma$, partition property
Received by editor(s): April 1, 2004
Received by editor(s) in revised form: December 30, 2004
Posted: October 28, 2005
Additional Notes: This work was partially supported by JSPS Grant-in-Aid No.~16540094.
Communicated by: Carl G. Jockusch, Jr.
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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