On Shapable and Winnable Properties
by
Nurettin Ergun
Coauthors: Stephen Watson

We investigate a game in which two players I and II take turns defining and extending finite partial functions from the natural numbers to a finite topological space F (or partial order). The players together build a countable subspace X of the countable power of F. A property is said to be winnable if player I has a winning strategy for ensuring that X has this property. A property is said to be shapable if player I has a winning strategy for ensuring that some subspace of X has this property. We investigate shapable and winnable properties and how they depend on the space F.

Date received: August 14, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caaj-70.