Let $\mathcal{C}$ be a Cocomplete Cowellpowered additive category. Does $\mathcal{C}$ need to have a generator?
2026-04-09 16:32:59.1775752379
Does a Cocomplete Cowellpowered Additive Category have Generator?
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Let $I$ be a proper class and let $\mathcal{C}$ be the category of families $\{A_i: i\in I\}$ of abelian groups indexed by $I$ such that $\{j\in I:A_j\neq0\}$ is a set.