For more information about this meeting, contact Stephen Simpson.
|Title:||Stationary and convergent strategies in Choquet games|
|Speaker:||Carl Mummert, Marshall University, West Virginia|
|We study a family of games that generalize the strong Choquet game
from descriptive set theory.
Two types of winning strategies for the second player are of
interest: stationary strategies, in which
the strategy only depends on the most recent move of the first
player, and convergent strategies, in
which the second player tries to make the intersection of the sets
played as small as possible.
We prove a sufficient topological condition for the existence of a
stationary winning strategy in the
Choquet game, and obtain a characterization of the spaces for which
the second player has a
convergent winning strategy. This is joint work with Francois Dorais.|
Room Reservation Information
|Date:||09 / 29 / 2009|
|Time:||02:30pm - 03:45pm|