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Bibliography
André, M., Méthode simpliciale en algèbre homologique et algèbre commutative, Lecture Notes, No. 32, Springer 1967.
Barr, M. and Beck, J., Homology and standard constructions, this volume.
Beck, J., Triples, algebras and cohomology, Dissertation, Columbia 1964–1967.
Barr, M. and Beck, J., Acyclic models and triples, Coca (La Jolla), Springer 1966.
Buchsbaum, D., Homology and universal functors, Lecture Notes No. 61, Springer 1968.
Dold, A., Zur Homotopietheorie der Kettenkomplexe, Math. Annalen 140, 1960.
Dold, A., MacLane, S. and Oberst, U., Projective classes and acyclic models, Lecture Notes 47, 1967.
Dold, A., Puppe, D. Homologie nicht-additiver Funktoren, Ann. Inst. Fourier 11, 1961.
Dubuc, E. Adjoint triangles, Lecture Notes, No. 61, Springer, 1968.
Fisher, J., The tensor product of functors, satellites and derived functors, to appear in J. of Algebra.
Freyd, P., Abelian Categories, Harper and Row, New York, 1964.
Freyd, P., Functor categories and their application to relative homology, Mimeographed notes, University of Pennsylvania, 1962.
Grothendieck, A. Sur quelques points d'algèbre homologique, Tôhoku, Math. J. 9, 1957.
Kan, D., Adjoint functors Trans. Amer. Math. Soc. 87, 1958.
Lawvere, F., Functorial semantics and algebraic theories, Proc. Nat. Acad. Sci. U.S.A. 50, 1963.
Linton, F., Some aspects of equational categories, Coca (La Jolla), Springer 1966.
MacLane, S., Homology, Springer 1963.
Mitchell, B., Theory of categories, Academic Press, New York (1965).
Oberst, U., Basiserweiterung in der Homologie kleiner Kategorien, Math. Zeitschrift 100, 1967.
Oberst, U., Homology of categories and exactness of direct limits, to appear.
Röhrl, H., Satelliten halbexakter Funktoren, Math. Zeitschrift 79, 1962.
Tierney, M. and Vogel, W., Simplicial resolutions and derived functors, Mimeographed Notes, Eidg. Techn. Hochschule 1966.
Ulmer, F., Satelliten und derivierte Funktoren I. Math. Zeitschrift 91, 1966.
Ulmer, F., Representable functors with values in arbitrary categories, J. of Algebra 8, 1968.
Ulmer, F. Properties of dense and relative adjoint functors, J. of Algebra 8, 1968.
Ulmer, F., Properties of Kan extensions, Mimeographed Notes, Eidg. Techn. Hochschule, 1966.
Ulmer, F., On cotriple and André (co)homology, their relationship with classical homological algebra, to appear in Lecture Notes.
Watts, C.E., A homology theory for small categories, Coca (La Jolla) 1966.
Yoneda, N., On Ext and exact sequences, J. Fac. Sci. Tokyo, Sec. I, 8, 1961.
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Ulmer, F. (1969). On cotriple and andré (co)homology, their relationship with classical homological algebra. In: Eckmann, B. (eds) Seminar on Triples and Categorical Homology Theory. Lecture Notes in Mathematics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083090
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DOI: https://doi.org/10.1007/BFb0083090
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