"We say that $F$ is half-full if for any pair of objects $X,Y \in \mathcal{C}$ such that $F(X)$ and $F(Y)$ are isomorphic in $\mathcal{C}'$, there exists an isomorphism $X \simeq Y$ in $\mathcal{C}$."
M. Kashiwara and P. Schapira, "Categories and sheaves", Grundlehren der Mathematischen Wissenschaften 332, Springer-Verlag, Berlin, 2006.
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Date: 2013-02-09 08:59 am (UTC)M. Kashiwara and P. Schapira, "Categories and sheaves", Grundlehren der Mathematischen
Wissenschaften 332, Springer-Verlag, Berlin, 2006.