A note on the normal filters extension property

Hayut, Yair

doi:10.1090/proc/14939

A note on the normal filters extension property
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Proc. Amer. Math. Soc. 148 (2020), 3129-3133 Request permission

Abstract:

We show that if $\lambda ^{<\kappa } = \lambda$ and every normal filter on $P_\kappa \lambda$ can be extended to a $\kappa$-complete ultrafilter, then so does every $\kappa$-complete filter on $\lambda$. This answers a question of Gitik.

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