Weakly normal ideals ou PKl and the singular cardinal hypothesis

• Autorzy: Yoshihiro Abe
• Języki publikacji: EN

Abstrakty

EN

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 $λ^{<κ}$ 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1993
• Tom: 143
• Numer: 2
• Strony: 97-106

Daty

wydano

1993

otrzymano

1991-11-05

Twórcy

autor

Yoshihiro Abe

• Numazu College of Technology, 3600 Ooka, Numazu-Shi, Shizuoka, 410 Japan
• Department of Mathematics, Kanagawa University, Rokkakubashi, Kanagawa-Ku, Yokohama 221, Japan

Bibliografia

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