Topological Games and Fixed-Point Theorems

Abstract

This thesis is concerned with topological games - games between two players of infinite length of a topological character. The first part of this thesis is a survey of some topological games. The second part is concerned with a game theoretic characterization of the closed graph theorem for linear functions. The third part is concerned with proving a fixed point theorem for continuous set-valued functions on a compact convex subset X of a linear topological space into the closed convex subsets of X.