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Principal homogeneous objects as representable functors. (English) Zbl 0365.18002

MSC:

18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
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References:

[1] 1 J. Beck , Triples, Algebras and Cohomology , Dissertation, Columbia University , 1964 - 67. MR 1987896
[2] 2 J. Duski N , Simplicial mehtods and the interpretation of triple cohomology , Memoirs A. M. S. vol. 3 , issue 2 , n^\circ 163 , 1975 . MR 393196 | Zbl 0376.18011 · Zbl 0376.18011
[3] 3 J. Giraud , Méthode de la descente, Mémoires Soc. Math. France 2 ( 1964 ). Numdam | MR 190142 | Zbl 0211.32902 · Zbl 0211.32902
[4] 4 A. Grothendi Eck , Techniques de descente et théorèmes d’existence en Géométrie algébrique, I , Séminaire Bourbacki 12 , exposé n^\circ 190 ( 1959 - 60 ). Numdam
[5] 5 S. Mac Lane , Categories for the working mathematician , Graduate Texts in Math. 5 , Springer , 1971 . MR 354798 | Zbl 0232.18001 · Zbl 0232.18001
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