Geodesic
Weakly normal ideals ou PKl and the singular cardinal hypothesis
Fundamenta Mathematicae, Tome 143 (1993) no. 2, pp. 97-106.

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In §1, we observe that a weakly normal ideal has a saturation property; we also show that the existence of certain precipitous ideals is sufficient for the existence of weakly normal ideals. In §2, generalizing Solovay's theorem concerning strongly compact cardinals, we show that $λ^{$ is decided if $P_κλ$ carries a weakly normal ideal and λ is regular or cf λ ≤ κ. This is applied to solving the singular cardinal hypothesis.
DOI : 10.4064/fm-143-2-97-106

Yoshihiro Abe 1

1 
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Yoshihiro Abe. Weakly normal ideals ou PKl and the singular cardinal hypothesis. Fundamenta Mathematicae, Tome 143 (1993) no. 2, pp. 97-106. doi : 10.4064/fm-143-2-97-106. http://geodesic.mathdoc.fr/articles/10.4064/fm-143-2-97-106/

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