Lemma 19.11.4. Let \mathcal{A} be a Grothendieck abelian category with generator U.
If |M| \leq \kappa , then M is the quotient of a direct sum of at most \kappa copies of U.
For every cardinal \kappa there exists a set of isomorphism classes of objects M with |M| \leq \kappa .
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Comment #9496 by Elías Guisado on
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