Thursday, November 9, 2017, from 4 to 5:30pm

East Hall, room 3096

Speaker: Andres Caicedo (Math Reviews)

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

Abstract:

The existence of an atomlessly measurable cardinal is equivalent to the existence of a measure extending Lebesgue measure and defined on all sets of reals. I’ll start the talk with some background on real-valued measurability, and proceed to argue that the assumption that there is some such cardinal actually has an effect on the extent of Lebesgue measure itself. The result goes beyond what can be granted arguing merely in terms of consistency strength.