A Game Dimension Function
Keywords:
dimension functions, partition games, topological gamesAbstract
We define a topological game dimension, ($gd$), such that $gd(X) = Ind(X)$ where $X$ is a hereditarily normal space and $Ind(X) \leq gd(X)$ where $X$ is a normal space. We ask a question which is about whether $gd(X) = Ind(X)$ where $X$ is a normal space. By making some appropriate modifications in this game, the dimension functions $Ind$ and $ind$ can be characterized in the realm of normal spaces.
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