- Tytuł:
- Weakly normal ideals ou PKl and the singular cardinal hypothesis
- Autorzy:
- Abe, Yoshihiro
- Powiązania:
- https://bibliotekanauki.pl/articles/1208574.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- 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.
- Źródło:
-
Fundamenta Mathematicae; 1993, 143, 2; 97-106
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł