Seminar Event Detail


Date:  Thursday, November 30, 2017
Location:  3096 East Hall (4:00 PM to 5:30 PM)

Title:  Real-valued measurability and the extent of Lebesgue measure (II)

Abstract:   On this second talk I begin with Solovay's characterization of real-valued measurability in terms of generic elementary embeddings, and build on results of Judah to prove that if there is an atomlessly measurable cardinal, then all (boldface) Delta-1-3 sets of reals are Lebesgue measurable. This is optimal in two respects: Just from the existence of measurable cardinals we cannot prove that lightface Delta-1-3 sets are measurable, and there are models with atomlessly measurable cardinals where there is a non-measurable Sigma-1-3 set. I will also discuss some related results.


Speaker:  Andres Caicedo
Institution:  Math Reviews

Event Organizer:   David Fernandez Breton


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