A game and its relation to netweight and D-spaces

Commentationes mathematicae Universitatis Carolinae

Gary Gruenhage¹ 

关键词: topological game;    network;    netweight;    weakly separated;    $D$-space;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

We introduce a two player topological game and study the relationship of the existence of winning strategies to base properties and covering properties of the underlying space. The existence of a winning strategy for one of the players is conjectured to be equivalent to the space have countable network weight. In addition, connections to the class of D-spaces and the class of hereditarily Lindel\"of spaces are shown.

【 授权许可】

CC BY