On the exact completion of the homotopy category

M. Gran; E. M. Vitale

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1998)

  • Volume: 39, Issue: 4, page 287-297
  • ISSN: 1245-530X

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Gran, M., and Vitale, E. M.. "On the exact completion of the homotopy category." Cahiers de Topologie et Géométrie Différentielle Catégoriques 39.4 (1998): 287-297. <http://eudml.org/doc/91611>.

@article{Gran1998,
author = {Gran, M., Vitale, E. M.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {homotopy category of topological spaces; exact completion; weakly lextensive category; pretopos},
language = {eng},
number = {4},
pages = {287-297},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On the exact completion of the homotopy category},
url = {http://eudml.org/doc/91611},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Gran, M.
AU - Vitale, E. M.
TI - On the exact completion of the homotopy category
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1998
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 39
IS - 4
SP - 287
EP - 297
LA - eng
KW - homotopy category of topological spaces; exact completion; weakly lextensive category; pretopos
UR - http://eudml.org/doc/91611
ER -

References

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  1. [1] L. Birkedal: The exact completion, preprint 1997. 
  2. [2] A. Carboni: Some free constructions in realizability and proof theory, J. Pure Appl. Algebra103 (1995) 117-148. Zbl0839.18002MR1358759
  3. [3] A. Carboni, S. Lack AND R.F.C. Walters: Introduction to extensive and distributive categories, J. Pure Appl. Algebra84 (1993) 145-158. Zbl0784.18001MR1201048
  4. [4] A. Carboni AND G. Rosolini: Some general constructions of models of the lambda-calculus, preprint 1997. 
  5. [5] A. Carboni AND E.M. Vitale: Regular and exact completions, J. Pure Appl. Algebra125 (1998) 79-116. Zbl0891.18002MR1600009
  6. [6] M. Grandis: Weak subobjects and the epi-monic completion of a category, preprint 1997. Zbl1059.18001MR1787597
  7. [7] H. Hu AND W. Tholen: A note on free regular and exact completions and their infinitary generalizations, Theory and Applications of Categories2 (1996) 113-132. Zbl0872.18004MR1423801
  8. [8] M. Mather: Pull-backs in homotopy theory, Can. J. Math.28 (1976) 225-263. Zbl0351.55005MR402694
  9. [9] J. Rosicky: Cartesian closed exact completions, preprint 1997. Zbl0937.18003MR1721095
  10. [10] D.S. Scott: A new category? Domains, spaces and equivalence relations, preprint 1996. 
  11. [11] E.M. Vitale: Localizations of algebraic categories, J. Pure Appl. Algebra108 (1996) 315-320. Zbl0854.18007MR1384009

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