Department of Mathematics
Point set topology and determinacy
Andres Caicedo
California Institute of Technology
Determinacy is the assertion that all infinite perfect information games on integers are determined. In these games, players I and II alternate playing integers, and an analysis of the sequences so obtained decides the winner. Such a game is determined if either player has a winning strategy, a way of choosing its integers that guarantees victory. Continuing work of A. Hogan, we study the structure of topological spaces under the assumption of determinacy, with an emphasis on metric spaces of the least well-ordered uncountable size.
All interested persons are welcome.