  Absolute Universes of combinatorial games, as defined in a recent paper by
the same authors, include many standard short normal- mis\`ere- and
scoring-play monoids. In this note we show that the class is categorical, by
extending Joyal's construction of arrows in normal-play games. Given $G$ and
$H$ in an Absolute Universe $U$, we study instead the Left Provisonal Game $[G,
H]$, which is a normal-play game, independently of the particular Absolute
Universe, and find that $G\longrightarrow H$ (implying $G\succcurlyeq H$)
corresponds to the set of winning strategies for Left playing second in
$[G,H]$. By this we define the category ${\bf LNP(U)}$.
