A classification of degree n functors, I

B. Johnson; R. McCarthy

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2003)

  • Volume: 44, Issue: 1, page 2-38
  • ISSN: 1245-530X

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Johnson, B., and McCarthy, R.. "A classification of degree $n$ functors, I." Cahiers de Topologie et Géométrie Différentielle Catégoriques 44.1 (2003): 2-38. <http://eudml.org/doc/91664>.

@article{Johnson2003,
author = {Johnson, B., McCarthy, R.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {abelian category; chain complex; cotriple; (homogeneous) degree functor; Kan extension; Taylor tower},
language = {eng},
number = {1},
pages = {2-38},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A classification of degree $n$ functors, I},
url = {http://eudml.org/doc/91664},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Johnson, B.
AU - McCarthy, R.
TI - A classification of degree $n$ functors, I
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2003
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 44
IS - 1
SP - 2
EP - 38
LA - eng
KW - abelian category; chain complex; cotriple; (homogeneous) degree functor; Kan extension; Taylor tower
UR - http://eudml.org/doc/91664
ER -

References

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  1. [E] S. Eilenberg, Abstract description of some basic functors, J. Indian Math. Soc.24 (1960), 231-234. Zbl0100.26103MR125148
  2. [E-M1] S. Eilenberg and S. Mac Lane, Homology theories for multiplicative systems, Trans. Amer. Math. Soc.71 (1951), 294-330. Zbl0043.25403MR43774
  3. [E-M2] S. Eilenberg and S. Mac Lane, On the groups H(π, n), II, Ann. of Math.60 (1954), 49-139. Zbl0055.41704
  4. [G1] T.G. Goodwillie, Calculus I.: The first derivative of pseudoisotopy theory, K-Theory4 (1990), 1-27. Zbl0741.57021MR1076523
  5. [G2] T.G. Goodwillie, Calculus Ii: Analytic functors, K-Theory5 (1992), 295-332. Zbl0776.55008MR1162445
  6. [G3] T.G. Goodwillie, Calculus III: The Taylor series of a homotopy functor, in preparation. 
  7. [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. Zbl0897.18005MR1451606
  8. [J-M2] B. Johnson and R. McCarthy, Taylor towers for functors of additive categories, J. Pure Appl. Algebra137 (1999), 253-284. Zbl0929.18007MR1685140
  9. [J-M3] B. Johnson and R. McCarthy, Deriving calculus with cotriples, preprint. Zbl1028.18004MR2022719
  10. [J-M4] B. Johnson and R. McCarthy, A classification of degree n functors, II, to appear in Cahiers Topologie Géom. Différentielle Catég. Zbl1050.18012MR2003579
  11. [M] S. Mac Lane, Homology, Springer-Verlag, Berlin, 1975. Zbl0818.18001MR1344215
  12. [P] T. Pirashvili, Polynomial approximation of Ext and Tor groups in functor categories, Comm. in Algebra21 (1993), 1705-1719. Zbl0793.18009MR1213983
  13. [W] C.E. Watts, Intrinsic characterizations of some additive functors, Proc. Amer. Math. Soc.11 (1960), 5-8. Zbl0093.04101MR118757
  14. [We] C. Weibel, An introduction to homological algebra, Cambridge University Press, Cambridge, 1994. Zbl0797.18001MR1269324

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