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Cohen Forcing Revisited

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Combinatorial Set Theory

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Abstract

Since Cohen forcing is countable, it satisfies ccc, hence, Cohen forcing is proper. Furthermore, since forcing notions with the Laver property do not add Cohen reals, Cohen forcing obviously does not have the Laver property.

Not so obvious are the facts that Cohen forcing adds unbounded and splitting, but no dominating reals.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Zürich, Switzerland

    Lorenz J. Halbeisen

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  1. Lorenz J. Halbeisen
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Correspondence to Lorenz J. Halbeisen .

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Halbeisen, L.J. (2012). Cohen Forcing Revisited. In: Combinatorial Set Theory. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-4471-2173-2_21

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