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Generic I0 at $leph_omega$

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It is common practice to consider the generic version of large cardinals defined with an elementary embedding, but what happens when such cardinals are really large? The talk will concern a form of generic I0 and the consequences of this extravagant hypothesis on the “largeness” of the powerset of $leph_omega$. This research is a result of discussions with Hugh Woodin.

This talk is part of the Isaac Newton Institute Seminar Series series.

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