no. 4
Weak subobjects and weak limits in categories and homotopy categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 38 (1997) no. 4, pp. 301-326. 
@article{CTGDC_1997__38_4_301_0,
     author = {Grandis, Marco},
     title = {Weak subobjects and weak limits in categories and homotopy categories},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {301--326},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {38},
     number = {4},
     year = {1997},
     mrnumber = {1487963},
     zbl = {0891.18001},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_1997__38_4_301_0/}
}
TY  - JOUR
AU  - Grandis, Marco
TI  - Weak subobjects and weak limits in categories and homotopy categories
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 1997
SP  - 301
EP  - 326
VL  - 38
IS  - 4
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_1997__38_4_301_0/
LA  - en
ID  - CTGDC_1997__38_4_301_0
ER  - 
%0 Journal Article
%A Grandis, Marco
%T Weak subobjects and weak limits in categories and homotopy categories
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 1997
%P 301-326
%V 38
%N 4
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_1997__38_4_301_0/
%G en
%F CTGDC_1997__38_4_301_0
Grandis, Marco. Weak subobjects and weak limits in categories and homotopy categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 38 (1997) no. 4, pp. 301-326. http://www.numdam.org/item/CTGDC_1997__38_4_301_0/

[1] M. Barr - C.F. Wells, Toposes, triples and theories, Springer 1984. | MR | Zbl

[2] H.J. Baues, Combinatorial homotopy and 4-dimensional complexes, de Gruyter, Berlin 1991. | MR | Zbl

[3] H.J. Baues, Homotopy type and homology, Oxford Science Publ, Clarendon Press, Oxford 1996. | MR | Zbl

[4] G. Birkhoff, Lattice Theory, Amer. Math. Soc. Coll. Publ. 25, New York 1948. | MR | Zbl

[5] A.K. Bousfield - D.M. Kan, Homotopy limits, completions and localisations, Lecture Notes in Mathematics 304, Springer 1972. | MR | Zbl

[6] A. Carboni - M. Grandis, Categories of projective spaces, J. Pure Appl. Algebra 110 (1996) 241-258. | MR | Zbl

[7] A. Carboni - E. Vitale, Regular and exact completions, to appear. | MR | Zbl

[8] L. Coppey, Algèbres de décompositions et précatégories, Diagrammes 3 (1980, supplément). | MR | Zbl

[9] B. Eckmann - P.J. Hilton, Unions and intersections in homotopy theory, Comm. Math. Helv. 38 (1963-64), 293-307. | MR | Zbl

[10] P. Freyd, Representations in abelian categories, in: Proceedings of the Conference on Categorical Algebra, La Jolla 1965, 95-120, Springer 1966. | MR | Zbl

[11] P. Freyd, Stable homotopy, in: Proceedings of the Conference on Categorical Algebra, La Jolla 1965, 121-176, Springer 1966. | MR | Zbl

[12] P. Freyd, Stable homotopy II, in: Proc. Symp. Pure Maths. XVII, Amer. Math. Soc. 1970, 161-183. | MR | Zbl

[13] P. Freyd, On the concreteness of certain categories, in: Symposia Mathematica, Vol. IV (INDAM, Roma 1968/69), pp. 431-456. Academic Press, London, 1970. | MR | Zbl

[14] P. Freyd, Homotopy is not concrete, in: The Steenrod algebra and its applications (Battelle Memorial Inst., Columbus, Ohio, 1970), pp. 25-34, Lecture Notes in Mathematics 168, Springer 1970. | MR | Zbl

[15] P. Gabriel - M. Zisman, Calculus of fractions and homotopy theory, Springer 1967. | MR | Zbl

[16] M. Grandis, Homotopical algebra in homotopical categories, Appl. Categ. Structures, 2 (1994), 351-406. | MR | Zbl

[17] M. Grandis, Categorically algebraic foundations for homotopical algebra, Appl. Categorical Structures, to appear. | MR | Zbl

[18] R.W. Kieboom, On stable homotopy monomorphisms, Appl. Categorical Structures, to appear. | MR | Zbl

[19] M. Korostenski - W. Tholen, Factorisation systems as Eilenberg-Moore algebras, J. Pure Appl. Algebra 85 (1993), 57-72. | MR | Zbl

[20] A.G. Kurosh, The theory of groups, Chelsea Publ. Co., New York 1960. | MR | Zbl

[21] F.W. Lawvere, Adjoints in and among bicategories, in: "Logic and Algebra", 181-189, M. Dekker, New York, 1996. | MR | Zbl

[22] S. Mac Lane, Categories for the working mathematician, Springer 1971. | MR | Zbl

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

[24] R.M. Vogt, Homotopy limits and colimits, Math. Z. 134 (1973), 11-52. | MR | Zbl

[25] G.W. Whitehead, Elements of homotopy theory, Springer 1978. | MR | Zbl