Abstract homotopy theory in procategories

Timothy Porter

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1976)

  • Volume: 17, Issue: 2, page 113-124
  • ISSN: 1245-530X

How to cite


Porter, Timothy. "Abstract homotopy theory in procategories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 17.2 (1976): 113-124. <http://eudml.org/doc/91164>.

author = {Porter, Timothy},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {2},
pages = {113-124},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Abstract homotopy theory in procategories},
url = {http://eudml.org/doc/91164},
volume = {17},
year = {1976},

AU - Porter, Timothy
TI - Abstract homotopy theory in procategories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1976
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 17
IS - 2
SP - 113
EP - 124
LA - eng
UR - http://eudml.org/doc/91164
ER -


  1. 1 Artin, M., Mazur, B., Etale homotopy, Lecture Notes in Math.100, Springer (1969). Zbl0182.26001MR245577
  2. 2 Boardman, J.M., Vogt, R.M., Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math.347, Springer (1973). Zbl0285.55012MR420609
  3. 3 Bousfield, A.K., Kan, D.M., Homotopy limits, completions and localizations, Lecture Notes in Math.304, Springer (1972). Zbl0259.55004MR365573
  4. 4 Brown, K.S., Abstract homotopy theory and generalized sheaf cohomology, Trans. A. M. S.186 (1973), 419-458. Zbl0245.55007MR341469
  5. 5 Duskin, J., Pro-objects, Séminaire Heidelberg-Strasbourg 1966-67, Exposé6, I. R. M. A.Strasbourg. 
  6. 6 Edwards, D.A., Hastings, H.M., On topological methods in homological algebra, preprint, S. U. N. Y., Binghamton. Zbl0335.55013MR424906
  7. 7 Grossman, J.W., A homotopy theory for pro-spaces, Trans. A. M. S.201 (1975), 161-176. Zbl0266.55007MR356039
  8. 8 Hastings, H.M., Homotopy theory of prospaces I-III, preprints, S. U. N. Y.Bingh am ton. 
  9. 9 Porter, T., Stability results for topological spaces, Math. Z.140 (1974), 1-21. Zbl0275.55022MR385846
  10. 10 Quillen, D., Homotopical algebra, Lecture Notes in Math.43, Springer (1967). Zbl0168.20903MR223432
  11. 11 Vogt, R.M., Homotopy limits and colimits, Math. Z.134 (1973), 11-52. Zbl0276.55006MR331376

Citations in EuDML Documents

  1. Luis Hernández-Paricio, Fundamental pro-groupoids and covering projections
  2. Timothy Porter, Coherent prohomotopical algebra
  3. Jean-Pierre Marquis, Mathematical Models of Abstract Systems: Knowing abstract geometric forms
  4. Timothy Porter, Coherent prohomotopy theory
  5. Timothy Porter, Essential properties of pro-objects in Grothendieck categories
  6. C. Elvira-Donazar, L. J. Hernandez-Paricio, A suspension theorem for the proper homotopy and strong shape theories
  7. Timothy Porter, Variations on a theme of homotopy

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