Weak subobjects and the epi-monic completion of a category

Journal of Pure and Applied Algebra

Volumn 154, Issue 1-3, 2000, Pages 193-212

  Grandis, Marco ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034410063     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(99)00191-7     Document Type: Article

References (31)

1. G.J. Bird, G.M. Kelly, A.J. Power, R.H. Street, Flexible limits for 2-categories, J. Pure Appl. Algebra 61 (1989) 1-27.
2. A. Carboni, Some free constructions in realizability and proof theory, J. Pure Appl. Algebra 103 (1995) 117-148.
3. A. Carboni, S. Lack, R.F.C. Walters, Introduction to extensive and distributive categories, J. Pure Appl. Algebra 84 (1993) 145-148.
4. A. Carboni, E. Vitale, Regular and exact completions, J. Pure Appl. Algebra 125 (1998) 79-116.
5. L. Coppey, Algèbres de décompositions et précategories, Diagrammes 3 (Suppl.) (1980).
6. B. Eckmann, P.J. Hilton, Unions and intersections in homotopy theory, Comm. Math. Helv. 38 (1963-64) 293-307.
7. P. Freyd, Representations in abelian categories, in: Proceedings of Conference on Categ. Algebra, La Jolla, 1965, Springer, Berlin, 1966, pp. 95-120.
8. P. Freyd, Stable homotopy, in: Proceedings of Conference on Categ. Algebra, La Jolla, 1965, Springer, Berlin, 1966, pp. 121-176.
9. P. Freyd, Stable homotopy II, in: Proceedings of Symposium on Pure Maths. XVII, Amer. Math. Soc., Providence, RI, 1970, pp. 161-183.
10. P. Freyd, On the concreteness of certain categories, in: Symposia Mathematica, Vol. IV, INDAM, Roma 1968/69, Academic Press, London, 1970, pp. 431-456.
11. P. Freyd, Homotopy is not concrete, in: The Steenrod Algebra and its Applications, Battelle Memorial Inst, Columbus, OH, 1970, Lecture Notes in Mathematics, Vol. 168, Springer, Berlin, 1970, pp. 25-34.
12. P. Freyd, G.M. Kelly, Categories of continuous functors, J. Pure Appl. Algebra 2 (1972) 1-18.
13. P. Freyd, A. Scedrov, Categories, Allegories, North-Holland, Amsterdam, 1990.
14. M. Grandis, On the categorical foundations of homological and homotopical algebra, Cahiers Topologie Géom. Différentielle Catégoriques 33 (1992) 135-175.
15. M. Grandis, Homotopical algebra in homotopical categories, Appl. Categ. Struct. 2 (1994) 351-406.
16. M. Grandis, Categorically algebraic foundations for homotopical algebra, Appl. Categ. Struct. 5 (1997) 363-413.
17. M. Grandis, Weak subobjects and weak limits in categories and homotopy categories, Cahiers Topologie Géom. Différentielle Catégoriques 38 (1997) 301-326.
18. M. Grandis, J. MacDonald, Homotopy structures for algebras over a monad, Appl. Categ. Struct. 7 (1999) 227-260.
19. R. Hartshorne, Residues and duality, Lecture Notes in Mathematics, Vol. 20, Springer, Berlin, 1966.
20. G. Janelidze, W. Tholen, Functorial factorisation, well-pointedness and separability, J. Pure Appl. Algebra 142 (1999) 99-130.
21. R.W. Kieboom, On stable homotopy monomorphisms, Appl. Categ. Struct. 5 (1997) 131-142.
22. M. Korostenski, W. Tholen, Factorisation systems as Eilenberg-Moore algebras, J. Pure Appl. Algebra 85 (1993) 57-72.
23. A.G. Kurosh, The Theory of Groups, Chelsea, New York, 1960
24. F.W. Lawvere, Adjoints in and among bicategories, in: Logic and Algebra, Pontignano, 1994, Marcel Dekker, New York, 1996, pp. 181-189.
25. M. Mather, Pull-backs in homotopy theory, Canadian J. Math. 28 (1976) 225-263.
26. B. Mitchell, Theory of Categories, Academic Press, New York, 1965.
27. A. Neeman, New axioms for triangulated categories, J. Algebra 139 (1991) 221-255.
28. D. Puppe, Korrespondenzen in abelschen kategorien, Math. Ann. 148 (1962) 1-30.
29. D. Puppe, On the formal structure of stable homotopy theory, in: Colloquium on Algebraic Topology, Mat. Inst., Aarhus Univ., 1962, pp. 65-71.
30. D. Puppe, Stabile homotopietheorie I, Math. Ann. 169 (1967) 243-274.
31. J.L. Verdier, Catégories dérivées, in: Séminaire de Géométrie Algébrique du Bois Marie SGA 4 1/2, Cohomologie étale, Lecture Notes in Mathematics, Vol. 569, Springer, Berlin, 1977, pp. 262-311.