An anabelian definition of abelian homology

René Guitart

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2007)

  • Volume: 48, Issue: 4, page 261-269
  • ISSN: 1245-530X

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Guitart, René. "An anabelian definition of abelian homology." Cahiers de Topologie et Géométrie Différentielle Catégoriques 48.4 (2007): 261-269. <http://eudml.org/doc/91724>.

@article{Guitart2007,
author = {Guitart, René},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {cohomology; limits; colimits},
language = {eng},
number = {4},
pages = {261-269},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {An anabelian definition of abelian homology},
url = {http://eudml.org/doc/91724},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Guitart, René
TI - An anabelian definition of abelian homology
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2007
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 48
IS - 4
SP - 261
EP - 269
LA - eng
KW - cohomology; limits; colimits
UR - http://eudml.org/doc/91724
ER -

References

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  1. [1] M. André, Méthode simpliciale en algèbre homologique et algèbre commutative, S.L.N. 32, 1967. Zbl0154.01402MR214644
  2. [2] F. Bachmann, Kategorische Homologietheorie un Spektralsequenzen, Diss. 4277, ETH Zurich, 1969, 36p. MR304462
  3. [3] D.A. Buchsbaum, Homology and universality relative to a functor, in S.L.N. vol. 61, 1968. Zbl0204.33801MR235004
  4. [4] H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. press, 1956. MR77480
  5. [5] J.L. Fisher, The tensor product of functors, satellites, and derived functors, J. of Al. 8, 277-294 (1968). Zbl0157.04403MR237593
  6. [6] R. Guitart, Relations et carrés exacts, Ann. Sci. math. Québec 4(1980), p. 103-125. Zbl0495.18008MR599050
  7. [7] R. Guitart et L. Van den Bril, Calcul des satellites et présentations des bimodules à l'aide des carrés exacts, I et II. Cahiers Top. Go. Diff, vol. XXIV-3 (1983), p. 299-330, et vol. XXIV-4 (1983), p. 333-369. Zbl0533.18007
  8. [8] D.M. Kan, Adjoint functors, trans. Am. math. Soc. 87, 294-329 (1958). Zbl0090.38906MR131451
  9. [9] S. MacLane, Categories for the working mathematician, Springer, 1970. Zbl0705.18001MR1712872
  10. [10] F. Ulmer, Satelliten und derivierte funktoren I, Math. Zeitschr. 91 (1966). Zbl0135.02201MR194495
  11. [11] N. Yoneda, On Ext and exact sequences, J. fac. Sci. Tokyo sec I 8, 507-526 (1960). Zbl0163.26902MR225854

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