Series: Penn State Logic Seminar
Date: Tuesday, October 17, 2000
Time: 2:30 - 3:20 PM
Place: 307 Boucke Building
Speaker: Alice Medvedev, Mathematics Department, Penn State
Title: Determinacy of Infinite Two-Player Games
Abstract:
I will define infinite two-player games with perfect information, and
talk about some useful ways of looking at them. I'll construct an
undetermined game, and prove a few simple results, like the
determinacy of an open game. Determinacy turns out to have deep
connections with analysis (determined sets have nice regularity
properties, like measurability), and with set theory (determinacy of
certain complicated sets is equivalent to the existence of certain
large cardinals).