Geodesic
Condensation and large cardinals
Sy-David Friedman 1   ; Peter Holy 1
1 Kurt Gödel Research Center for Mathematical Logic Universität Wien Währinger Strasse 25 1090 Wien, Austria
Fundamenta Mathematicae, Tome 215 (2011) no. 2, pp. 133-166 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm215-2-3
Keywords: introduce generalized condensation principles local club condensation stationary condensation while strong condensation nbsp generalized condensation principle introduced hugh woodin inconsistent omega erd cardinal stationary condensation local club condensation which should thought weakenings strong condensation consistent omega superstrong cardinals

Sy-David Friedman  1   ; Peter Holy  1

1 Kurt Gödel Research Center for Mathematical Logic Universität Wien Währinger Strasse 25 1090 Wien, Austria 
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Sy-David Friedman; Peter Holy. Condensation and large cardinals. Fundamenta Mathematicae, Tome 215 (2011) no. 2, pp. 133-166. doi: 10.4064/fm215-2-3

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