Homotopy colimits in presheaf categories

Murray Heggie

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)

  • Volume: 34, Issue: 1, page 13-36
  • ISSN: 1245-530X

How to cite

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Heggie, Murray. "Homotopy colimits in presheaf categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.1 (1993): 13-36. <http://eudml.org/doc/91512>.

@article{Heggie1993,
author = {Heggie, Murray},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {homotopy category; homotopy colimits; presheaf categories; Grothendieck theorem},
language = {eng},
number = {1},
pages = {13-36},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Homotopy colimits in presheaf categories},
url = {http://eudml.org/doc/91512},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Heggie, Murray
TI - Homotopy colimits in presheaf categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 1
SP - 13
EP - 36
LA - eng
KW - homotopy category; homotopy colimits; presheaf categories; Grothendieck theorem
UR - http://eudml.org/doc/91512
ER -

References

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  1. 1 J. Gray, Fibred and Co-Fibred Categories, Conference on Categorical Algebra, Springer Verlag, Berlin, 1965, pp. 21-83. Zbl0192.10701MR213413
  2. 2 A. Grothendieck, Pursuing Stacks, unpublished letter to D. Quillen. 
  3. 3 M. Heggie, Tensor Products in Homotopy Theory, Ph.D. Thesis, McGill University, 1986. 
  4. 4 D. Quillen, Homotopical Algebra, Lecture Notes in Mathematics, vol. 43, Springer Verlag, Berlin, 1967. Zbl0168.20903MR223432
  5. 5 ____, Higher Algebraic K-Theory I, Lecture Notes in Mathematics, vol. 341, Springer Verlag, Berlin, 1973, pp. 85-147. MR338129
  6. 6 R. Thomason, Homotopy Colimits in the Category of Small Categories, Math. Proc. Camb. Phil. Soc.85 (1979), 91-109. Zbl0392.18001MR510404

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