A short proof of a theorem of Barr-Beck
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References
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[B] J. Beck, Thesis, Columbia University, New York, 1967.
- H. Kleisli and Y.-c. Wu, On injective sheaves, Canad. Math. Bull. 7 (1964), 415–423. MR 168624, DOI 10.4153/CMB-1964-040-4 [E—M] S. Eilenberg and J. C. Moore, Adjoint functors and triples, Illinois J. Math. 9 (1965), 381-398. MR 32 #2455. [B—B1] M. Barr and J. Beck, Acyclic models and triples, Proc. Conference Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 336-343. MR 39 #6955.
- Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Band 114, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 0156879, DOI 10.1007/978-3-642-62029-4
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480 [B—B2] M. Barr and J. Beck, Homology and standard constructions, Lecture Notes in Math., no. 80, Springer-Verlag, Berlin and New York.
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 1275-1276
- MSC (1970): Primary 0830, 1310
- DOI: https://doi.org/10.1090/S0002-9904-1970-12636-2
- MathSciNet review: 0265432