Homotopy colimits and cohomology with local coefficients

M. Bullejos; E. Faro; M. A. García-Muñoz

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2003)

  • Volume: 44, Issue: 1, page 63-80
  • ISSN: 1245-530X

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Bullejos, M., Faro, E., and García-Muñoz, M. A.. "Homotopy colimits and cohomology with local coefficients." Cahiers de Topologie et Géométrie Différentielle Catégoriques 44.1 (2003): 63-80. <http://eudml.org/doc/91666>.

@article{Bullejos2003,
author = {Bullejos, M., Faro, E., García-Muñoz, M. A.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {cohomology; homotopy colimits},
language = {eng},
number = {1},
pages = {63-80},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Homotopy colimits and cohomology with local coefficients},
url = {http://eudml.org/doc/91666},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Bullejos, M.
AU - Faro, E.
AU - García-Muñoz, M. A.
TI - Homotopy colimits and cohomology with local coefficients
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2003
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 44
IS - 1
SP - 63
EP - 80
LA - eng
KW - cohomology; homotopy colimits
UR - http://eudml.org/doc/91666
ER -

References

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  1. [1] H.J. Baues.Obstruction Theory, volume 628 of Lecture Notes in Math. Springer, New York, 1977. Zbl0361.55017MR467748
  2. [2] A.K. Bousfield and D.M. Kan.Homotopy Limits. Completions and localizations, volume 304 of Lecture Notes in Math. Springer, New York, 1972. Zbl0259.55004MR365573
  3. [3] J. Duskin.Simplicial methods and the interpretation of triple cohomology. Mem. Amer. Math. Soc., 3 - 2, 1975. Zbl0376.18011MR393196
  4. [4] P. Gabriel and M. Zisman.Calculus of fractions and homotopy theory. Springer-Verlag, 1967. Zbl0186.56802MR210125
  5. [5] S. Gitler.Cohomology operations with local coefficients. American JournalMathematics, 85:156-188, 1963. Zbl0131.38006MR158398
  6. [6] J.P. May.Simplicial objects in algebraic topology. Van Nostrand, 1976. Zbl0165.26004MR222892
  7. [7] J. Siegel.Higher order cohomology operations in local coefficient theory. Amer. J. Math., 89:909-931, 1967. Zbl0169.25602MR225319
  8. [8] N.D. Steenrod.Homology with local coefficients. Ann. of Math. (2), 44-no. 4:610-627, 1943. Zbl0061.40901MR9114
  9. [9] R.W. Thomason.Homotopy colimits in the category of small categories. Math. Proc. Cambridge Philos. Soc., 85:91-109, 1979. Zbl0392.18001MR510404
  10. [10] A.P. Tonks.Theory and Applications of Crossed Complexes. Ph.D. dissertation, University of Wales, Sep 1993. 
  11. [11] G.W. Whitehead.Elements of homotopy theory, volume 61 of Grad. Texts in Math. Springer, New York, 1978. Zbl0406.55001MR516508

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