Embedding Cohen algebras using pcf theory

• Autorzy: Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

Using a theorem from pcf theory, we show that for any singular cardinal ν, the product of the Cohen forcing notions on κ, κ < ν, adds a generic for the Cohen forcing notion on $ν^+$.

Słowa kluczowe

EN

set theory; pcf; forcing

Kategorie tematyczne

• 03E04: Ordered sets and their cofinalities; pcf theory
• 03E40: Other aspects of forcing and Boolean-valued models

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2000
• Tom: 166
• Numer: 1-2
• Strony: 83-86

Daty

wydano

2000

otrzymano

1995-09-02

Twórcy

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel

Bibliografia

• [Mi91] A. Miller, Arnie Miller's problem list, in: H. Judah (ed.), Set Theory of the Reals, Israel Math. Conf. Proc. 6, Bar-Ilan Univ., Ramat Gan, 1993, 645-654.
• [Za] J. Zapletal, Some results in set theory and Boolean algebras, PhD thesis, Penn State Univ., 1995.
• [Sh 355] S. Shelah, $ℵ_ω + 1$ has a Jonsson algebra, in: Cardinal Arithmetic, Oxford Logic Guides, Chapter II, Oxford Univ. Press, 1994.