This article is cited in 2 papers

On the homological classification of small categories

S. V. Polin


Abstract: 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.

UDC: 519.48

MSC: Primary 18G05; Secondary 18A25

Received: 09.03.1973

 English version: Mathematics of the USSR-Sbornik, 1974, 22:3, 386–409

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