Condensation and large cardinals

Tom 215 / 2011

Sy-David Friedman, Peter Holy Fundamenta Mathematicae 215 (2011), 133-166 MSC: 03E35, 03E55. DOI: 10.4064/fm215-2-3

Streszczenie

We introduce two generalized condensation principles: Local Club Condensation and Stationary Condensation. We show that while Strong Condensation (a generalized condensation principle introduced by Hugh Woodin) is inconsistent with an $\omega _1$-Erdős cardinal, Stationary Condensation and Local Club Condensation (which should be thought of as weakenings of Strong Condensation) are both consistent with $\omega $-superstrong cardinals.

Autorzy

  • Sy-David FriedmanKurt Gödel Research Center for Mathematical Logic
    Universität Wien
    Währinger Strasse 25
    1090 Wien, Austria
    e-mail
  • Peter HolyKurt Gödel Research Center for Mathematical Logic
    Universität Wien
    Währinger Strasse 25
    1090 Wien, Austria
    e-mail

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