Historic forcing for Depth

• Autorzy: Andrzej Rosłanowski , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

We show that, consistently, for some regular cardinals θ <λ, there exists a Boolean algebra 𝔹 such that |𝔹| = λ⁺ and for every subalgebra 𝔹'⊆ 𝔹 of size λ⁺ we have Depth(𝔹') = θ.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 06Exx: Boolean algebras (Boolean rings)
• 03G05: Boolean algebras
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 89
• Numer: 1
• Strony: 99-115

Daty

wydano

2001

Twórcy

autor

Andrzej Rosłanowski

• Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, U.S.A
• Mathematical Institute, Wrocław University, 50384 Wroclaw, Poland

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
• Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.

Identyfikatory

DOI

10.4064/cm89-1-7