Historic forcing for Depth

Tom 89 / 2001

Andrzej Rosłanowski, Saharon Shelah Colloquium Mathematicum 89 (2001), 99-115 MSC: Primary 03E35, 03G05; Secondary 03E05, 06Exx. DOI: 10.4064/cm89-1-7

Streszczenie

We show that, consistently, for some regular cardinals $\theta <\lambda $, there exists a Boolean algebra ${\mathbb B}$ such that $|{\mathbb B}|=\lambda ^+$ and for every subalgebra ${\mathbb B}'\subseteq {\mathbb B}$ of size $\lambda ^+$ we have $\mathop {\rm Depth}\nolimits ({\mathbb B}')= \theta $.

Autorzy

  • Andrzej RosłanowskiDepartment of Mathematics
    University of Nebraska at Omaha
    Omaha, NE 68182-0243, U.S.A
    Mathematical Institute
    Wrocław University
    50384 Wroclaw, Poland
    e-mail
  • Saharon ShelahInstitute of Mathematics
    The Hebrew University of Jerusalem
    91904 Jerusalem, Israel
    Department of Mathematics
    Rutgers University
    New Brunswick, NJ 08854, U.S.A.
    e-mail

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