Homotopy cofibrations in
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1992)
- Volume: 33, Issue: 4, page 291-313
- ISSN: 1245-530X
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topHeggie, Murray. "Homotopy cofibrations in $CAT$." Cahiers de Topologie et Géométrie Différentielle Catégoriques 33.4 (1992): 291-313. <http://eudml.org/doc/91508>.
@article{Heggie1992,
author = {Heggie, Murray},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {cofibrations; homotopy; coideals; coretraction; pushout},
language = {eng},
number = {4},
pages = {291-313},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Homotopy cofibrations in $CAT$},
url = {http://eudml.org/doc/91508},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Heggie, Murray
TI - Homotopy cofibrations in $CAT$
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1992
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 33
IS - 4
SP - 291
EP - 313
LA - eng
KW - cofibrations; homotopy; coideals; coretraction; pushout
UR - http://eudml.org/doc/91508
ER -
References
top- 1 D. Anderson, Geometric Realization and Fibrations, Bulletin of the A.M.S.84 (1978), 765-788. Zbl0408.55002MR500935
- 2 J. Gray, Fibred and Co-Fihred Categories, Conference on Categorical Algebra, Springer Verlag, Berlin, 1965, pp. 21-83. Zbl0192.10701MR213413
- 3 P. Gabriel and M. Zisman, Calculus of Fractions and Homotopy Theory, Springer Verlag, Berlin, 1967. Zbl0186.56802MR210125
- 4 M. Heggie, Tensor Products in Homotopy Theory, Ph.D. Thesis, McGill University, 1986.
- 5 ____, The Left Derived Tensor Product of CAT- valued Diagrams, preprint.
- 6 ____, Homotopy Colimits in Presheaf Categories, preprint. Zbl0774.18008
- 7 D. Kan, On C.S.S.Complexes, American Journal of Mathematics79 (1957), 449-476. Zbl0078.36901MR90047
- 8 D. Quillen, Homotopical Algebra, Lecture Notes in Mathematics, vol. 43, Springer Verlag, Berlin, 1967. Zbl0168.20903MR223432
- 9 ____, Higher Algebraic K-Theory I, Lecture Notes in Mathematics, vol. 341, Springer Verlag, Berlin, 1973, pp. 85-147. MR338129
- 10 R. Thomason, Homotopy Colimits in the Category of Small Categories, Math. Proc. Camb. Phil. Soc.85 (1979), 91-109. Zbl0392.18001MR510404
- 11 G.W. Whitehead, Elements of Homotopy Theory, Springer Verlag, Berlin, 1978. Zbl0406.55001MR516508
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