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Topic Archive: I_0 cardinals

Set theory seminarFriday, March 28, 201410:00 amGC6417

Scott Cramer

Reflecting I_0

Rutgers University

We will present an argument for reflecting the large cardinal axiom I_0 from marginally stronger large cardinals. This will involve presenting some of the theory of inverse limits, which R. Laver first studied in the context of reflecting large cardinals at this level. Along the way we will see many local reflection results below I_0 and state a strong form of reflection which is useful in other contexts.