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# Generic I0 at $\aleph_\omega$

Date:
Tuesday 25th August 2015 - 13:30 to 14:00
Venue:
INI Seminar Room 1
Abstract:
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 $\aleph_\omega$. This research is a result of discussions with Hugh Woodin.
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