@article{González-Silva_Hrusák_2013, title={More on ultrafilters and topological games}, volume={10}, url={https://polipapers.upv.es/index.php/AGT/article/view/1734}, DOI={10.4995/agt.2009.1734}, abstractNote={<p>Two different open-point games are studied here, the G-game and the Gp-game, defined for each p âˆˆ ωâˆ—. We prove that for each p âˆˆ ωâˆ—, there exists a space in which none of the players of the Gp-game has a winning strategy.</p><p>Nevertheless a result of P. Nyikos, essentially shows that it is consistent, that there exists a countable space in which all these games are undetermined.</p><p>We construct a countably compact space in which player II of the Gp-game is the winner, for every p âˆˆ ωâˆ—. With the same technique of construction we built a countably compact space X, such that in X ×X player II of the G-game is the winner. Our last result is to construct ω1-many countably compact spaces, with player I of the G-game as a winner in any countable product of them, but player II is the winner in the product of all of them in the G-game.</p>}, number={2}, journal={Applied General Topology}, author={González-Silva, R. A. and Hrusák, M.}, year={2013}, month={Sep.}, pages={207–219} }