Limited information strategies for topological games

Abstract

A topological game G(X) is a two-player game which characterizes properties of a topological space X based upon the existence of winning perfect-information strategies for players in the game. If the property P is characterized by a player having a winning perfect information strategy, then a property stronger than P is characterized by that player having a winning limited information strategy. This paper investigates the existence of limited information strategies for four types of topological games from the literature, and the topological properties characterized by those strategies.