Sbornik. Mathematics, Tome 22 (1974) no. 3, pp. 386-409
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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/
@article{SM_1974_22_3_a3,
author = {S. V. Polin},
title = {On the homological classification of small categories},
journal = {Sbornik. Mathematics},
pages = {386--409},
year = {1974},
volume = {22},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1974_22_3_a3/}
}
TY - JOUR
AU - S. V. Polin
TI - On the homological classification of small categories
JO - Sbornik. Mathematics
PY - 1974
SP - 386
EP - 409
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/item/SM_1974_22_3_a3/
LA - en
ID - SM_1974_22_3_a3
ER -
%0 Journal Article
%A S. V. Polin
%T On the homological classification of small categories
%J Sbornik. Mathematics
%D 1974
%P 386-409
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/SM_1974_22_3_a3/
%G en
%F SM_1974_22_3_a3
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.
