Suppose $C$ is a small category, $M$ is a category and $G$ is a discrete group. Let $X$ be a $G$-object in $M^C$ and suppose that the action of $G$ on $X$ is object-wise free. Under what conditions is the action of $G$ on $colim_C X$ again free?
2026-03-26 01:07:43.1774487263
Do colimits preserve free group actions?
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