Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Assuming large cardinals, we show that every κ-complete filter can be generically extended to a V-ultrafilter with well-founded ultrapower. We then apply this to answer a question of Abe.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
95-98
Opis fizyczny
Daty
wydano
2000
otrzymano
1999-09-01
Twórcy
autor
- Department of Mathematics, University of Nevada, Las Vegas, NV 89154, U.S.A.
Bibliografia
- [A] Y. Abe, Weakly normal ideals on $P_κλ$ and the singular cardinal hypothesis, Fund. Math. 143 (1993), 97-106.
- [J] T. J. Jech, Set Theory, Academic Press, 1978.
- [M1] M. Magidor, Precipitous ideals and $Σ^1_4$ sets, Israel J. Math. 35 (1980), 109-134.
- [M2] D. A. Martin, Borel and Projective Games, book to be published.
- [M3] Y. Matsubara, private communication.
- [M4] Y. Matsubara, Saturated ideals and the singular cardinal hypothesis, J. Symbolic Logic 57 (1992), 970-974.
- [S] R. M. Solovay, Strongly compact cardinals and the GCH, in: Proc. Tarski Symposium, Proc. Sympos. Pure Math. 25, Amer. Math. Soc., Providence, R.I., 1974, 365-372.
- [W1] W. H. Woodin, Supercompact cardinals and $Σ^2_1$ sets, handwritten notes, May 1985.
- [W2] W. H. Woodin, Supercompact cardinals, sets of reals, and weakly homogeneous trees, Proc. Nat. Acad. Sci. U.S.A. 85 (1988), 6587-6591.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-fmv163i1p95bwm