Geodesic
On the homological classification of small categories
Sbornik. Mathematics, Tome 22 (1974) no. 3, pp. 386-409

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Necessary and sufficient conditions on a small category $\mathfrak d$ are given in order that every functor from $\mathfrak d$ to the category $\mathfrak S$ of all sets be a projective object in the category $\mathfrak F(\mathfrak d,\mathfrak S)$, and also in order that every functor from $\mathfrak d$ to the category $\mathfrak S_n$ of nonvoid sets be an injective object in the category $\mathfrak F(\mathfrak d,\mathfrak S_n)$. Bibliography: 6 titles. 
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     author = {S. V. Polin},
     title = {On the homological classification of small categories},
     journal = {Sbornik. Mathematics},
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     number = {3},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_22_3_a3/}
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S. V. Polin. On the homological classification of small categories. Sbornik. Mathematics, Tome 22 (1974) no. 3, pp. 386-409. http://geodesic.mathdoc.fr/item/SM_1974_22_3_a3/