On the exact completion of the homotopy category
Gran, M. ; Vitale, E. M.
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 39 (1998), p. 287-297 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1998-01-01
@article{CTGDC_1998__39_4_287_0,
     author = {Gran, M. and Vitale, Enrico M.},
     title = {On the exact completion of the homotopy category},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {39},
     year = {1998},
     pages = {287-297},
     mrnumber = {1663343},
     zbl = {0918.18003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_1998__39_4_287_0}
}

Gran, M.; Vitale, E. M. On the exact completion of the homotopy category. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 39 (1998) pp. 287-297. http://gdmltest.u-ga.fr/item/CTGDC_1998__39_4_287_0/

[1] L. Birkedal: The exact completion, preprint 1997.

[2] A. Carboni: Some free constructions in realizability and proof theory, J. Pure Appl. Algebra 103 (1995) 117-148. | MR 1358759 | Zbl 0839.18002

[3] A. Carboni, S. Lack AND R.F.C. Walters: Introduction to extensive and distributive categories, J. Pure Appl. Algebra 84 (1993) 145-158. | MR 1201048 | Zbl 0784.18001

[4] A. Carboni AND G. Rosolini: Some general constructions of models of the lambda-calculus, preprint 1997.

[5] A. Carboni AND E.M. Vitale: Regular and exact completions, J. Pure Appl. Algebra 125 (1998) 79-116. | MR 1600009 | Zbl 0891.18002

[6] M. Grandis: Weak subobjects and the epi-monic completion of a category, preprint 1997. | MR 1787597 | Zbl 1059.18001

[7] H. Hu AND W. Tholen: A note on free regular and exact completions and their infinitary generalizations, Theory and Applications of Categories 2 (1996) 113-132. | MR 1423801 | Zbl 0872.18004

[8] M. Mather: Pull-backs in homotopy theory, Can. J. Math. 28 (1976) 225-263. | MR 402694 | Zbl 0351.55005

[9] J. Rosicky: Cartesian closed exact completions, preprint 1997. | MR 1721095 | Zbl 0937.18003

[10] D.S. Scott: A new category? Domains, spaces and equivalence relations, preprint 1996.

[11] E.M. Vitale: Localizations of algebraic categories, J. Pure Appl. Algebra 108 (1996) 315-320. | MR 1384009 | Zbl 0854.18007