A classification of degree n functors, I
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) no. 1, pp. 2-38.
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     title = {A classification of degree $n$ functors, {I}},
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     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
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     number = {1},
     year = {2003},
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     zbl = {1025.18009},
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Johnson, B.; McCarthy, R. A classification of degree $n$ functors, I. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) no. 1, pp. 2-38. http://www.numdam.org/item/CTGDC_2003__44_1_2_0/

[E] S. Eilenberg, Abstract description of some basic functors, J. Indian Math. Soc. 24 (1960), 231-234. | MR | Zbl

[E-M1] S. Eilenberg and S. Mac Lane, Homology theories for multiplicative systems, Trans. Amer. Math. Soc. 71 (1951), 294-330. | MR | Zbl

[E-M2] S. Eilenberg and S. Mac Lane, On the groups H(π, n), II, Ann. of Math. 60 (1954), 49-139. | Zbl

[G1] T.G. Goodwillie, Calculus I.: The first derivative of pseudoisotopy theory, K-Theory 4 (1990), 1-27. | MR | Zbl

[G2] T.G. Goodwillie, Calculus Ii: Analytic functors, K-Theory 5 (1992), 295-332. | MR | Zbl

[G3] T.G. Goodwillie, Calculus III: The Taylor series of a homotopy functor, in preparation.

[J-M1] B. Johnson and R. Mccarthy, Linearization, Dold-Puppe stabilization, and Mac Lane's Q-construction, Trans. Amer. Math. Soc. 350 (1998), 1555-1593. | MR | Zbl

[J-M2] B. Johnson and R. Mccarthy, Taylor towers for functors of additive categories, J. Pure Appl. Algebra 137 (1999), 253-284. | MR | Zbl

[J-M3] B. Johnson and R. Mccarthy, Deriving calculus with cotriples, preprint. | MR

[J-M4] B. Johnson and R. Mccarthy, A classification of degree n functors, II, to appear in Cahiers Topologie Géom. Différentielle Catég. | Numdam | MR | Zbl

[M] S. Mac Lane, Homology, Springer-Verlag, Berlin, 1975. | MR | Zbl

[P] T. Pirashvili, Polynomial approximation of Ext and Tor groups in functor categories, Comm. in Algebra 21 (1993), 1705-1719. | MR | Zbl

[W] C.E. Watts, Intrinsic characterizations of some additive functors, Proc. Amer. Math. Soc. 11 (1960), 5-8. | MR | Zbl

[We] C. Weibel, An introduction to homological algebra, Cambridge University Press, Cambridge, 1994. | MR | Zbl