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Coherent adequate sets and forcing square

Volume 224 / 2014

John Krueger Fundamenta Mathematicae 224 (2014), 279-300 MSC: Primary 03E40; Secondary 03E05. DOI: 10.4064/fm224-3-5


We introduce the idea of a coherent adequate set of models, which can be used as side conditions in forcing. As an application we define a forcing poset which adds a square sequence on $\omega _2$ using finite conditions.


  • John KruegerDepartment of Mathematics
    University of North Texas
    1155 Union Circle #311430
    Denton, TX 76203, U.S.A.

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