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The last forcing standing with diamonds

Volume 246 / 2019

Andrzej Rosłanowski, Saharon Shelah Fundamenta Mathematicae 246 (2019), 109-159 MSC: Primary 03E40; Secondary 03E35. DOI: 10.4064/fm898-9-2018 Published online: 29 March 2019


This article continues our previous work [Int. J. Math. Math. Sci. 28 (2001), Arch. Math. Logic 52 (2013)]. We introduce a new property of $({ \lt }\lambda )$-strategically complete forcing notions which implies that their $\lambda $-support iterations do not collapse $\lambda ^+$.


  • Andrzej RosłanowskiDepartment of Mathematics
    University of Nebraska at Omaha
    Omaha, NE 68182-0243, U.S.A.
  • Saharon ShelahEinstein Institute of Mathematics
    Edmond J. Safra Campus
    Givat Ram, The Hebrew University of Jerusalem
    Jerusalem, 91904, Israel
    Department of Mathematics
    Rutgers University
    Hill Center - Busch Campus
    110 Frelinghuysen Road
    Piscataway, NJ 08854-8019, U.S.A.

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