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Graduate Seminar

Jing Zhang
Carnegie Mellon University
Title: No More Non-measurable Sets!

Abstract: In this talk, we define 2-player-games associated to each subset of real numbers. It is a question whether there exists a winning strategy for any one of the players. First we work in the usual mathematical system (aka ZFC) to see what sets are determined. Then we replace Axiom of Choice by Axiom of Determinacy (every subset of real is determined) and derive that every subset of real numbers is measurable.

Date: Tuesday, November 18, 2014
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Zilin Jiang