Condensation and Large Cardinals

نویسندگان

  • Sy-David Friedman
  • Peter Holy
چکیده

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 in [19]) is inconsistent with an ω1-Erdős cardinal, Stationary Condensation and Local Club Condensation (which should be thought of as weakenings of Strong Condensation) are both consistent with ω-superstrong cardinals.

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تاریخ انتشار 2011