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Homology of categories and exactness of direct limits. (English) Zbl 0176.28902


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[1] André, M.: Méthode simpliciale en algèbre homologique et algèbre commutative. Lecture Notes in Mathematics 32, Berlin-Heidelberg-New York: Springer 1967. · Zbl 0154.01402
[2] Cartan, H., and S. Eilenberg: Homological algebra, Princeton: Princeton University Press 1956. · Zbl 0075.24305
[3] Dold, A., S. MacLane, and U. Oberst: Projective classes and acyclic models. Lecture Notes in Mathematics 47. Berlin-Heidelberg-New York: Springer 1967. · Zbl 1375.18006
[4] Eilenberg, S., and J. C. Moore: Adjoint functors and triples. Illinois Journal of Math.9, 381-398 (1965). · Zbl 0135.02103
[5] Gabriel, P., and M. Zisman: Calculus of fractions and homotopy theory. Berlin-Heidelberg-New York: Springer 1967.
[6] Grothendieck, A.: Quelques points d’algèbre homologique. Tohoku Math. J. 9 (1957). · Zbl 0118.26104
[7] Oberst, U.: Basiserweiterung, in der Homologie kleiner Kategorien. Math. Z.100, 36-58 (1967). · Zbl 0267.18019
[8] Oberst, U., and H. Röhrl: Singular homology with sheaf coefficients. (To appear).
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