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Topic Archive: generic large cardinals

Set theory seminarModels of PAWednesday, March 25, 20155:00 pmGC 7314

Vincenzo Dimonte

Generic I0 at $\aleph_\omega$

Technische Universit├Ąt Wien

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 over-the-top hypothesis on the “largeness” of the powerset of $\aleph_\omega$. This research is a result of discussions with Hugh Woodin.