SOME GAMES RELATED TO PERFECT SPACES

Marion Scheepers; Paul J. Szeptycki

Marion Scheepers
Paul J. Szeptycki

Keywords: game, strategy, Markov strategy, Banach-Mazur game, countable paracompactness, countable metacompactness, perfect space

Abstract

We deﬁne some new topological games motivated by covering axioms related to countable paracompactness. We investigate the basic relationships between existence of winning strategies in these games and we establish interesting connections between these games and the Banach Mazur game, generalized metric spaces, perfect spaces, Michael type lines and Bing’s G.