Monroe Eskew: Global Chang conjectures and generic supercompactness

Time: Mon, 03/09/2015 – 4:00pm – 5:30pm
Location:  RH 440R

Speaker: Monroe Eskew (Tsukuba University, Japan)

Title: Global Chang conjectures and generic supercompactness

Abstract: Starting from a 2-huge cardinal, we construct a model where for all pairs of regular cardinals kappa<lambda, (lambda^+,lambda) –> (kappa^+,kappa) and there is a lambda^+ saturated ideal on P_{kappa^+}(lambda). Then using a modified Radin forcing we get similar global principles involving singular cardinals but with only finite jumps.

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