An ultrafilter with property 𝜎

Shioya, Masahiro

doi:10.1090/S0002-9939-05-08161-X

An ultrafilter with property $\sigma$
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Proc. Amer. Math. Soc. 134 (2006), 1819-1821 Request permission

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.

References

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