A+ CATEGORY SCIENTIFIC UNIT

CH and the Sacks property

Volume 171 / 2002

S. Quickert Fundamenta Mathematicae 171 (2002), 93-100 MSC: Primary 03E35. DOI: 10.4064/fm171-1-6

Abstract

We show the consistency of CH and the statement “no ccc forcing has the Sacks property” and derive some consequences for ccc $\omega ^\omega $-bounding forcing notions.

Authors

  • S. QuickertMathematisches Institut
    Rheinische Friedrich-Wilhelms Universität Bonn
    Beringstr. 6
    D-53115 Bonn, Germany
    and
    Équipe de Logique Mathématique
    UFR de Mathématiques (case 7012)
    Université Denis Diderot Paris 7
    2 place Jussieu
    75251 Paris Cedex 05, France
    e-mail
    e-mail

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