On a generalized small-object argument for the injective subcategory problem
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 43 (2002) no. 2, pp. 83-106. 
@article{CTGDC_2002__43_2_83_0,
     author = {Ad\'amek, J. and Herrlich, H. and Rosick\'y, J. and Tholen, W.},
     title = {On a generalized small-object argument for the injective subcategory problem},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {83--106},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {43},
     number = {2},
     year = {2002},
     mrnumber = {1913101},
     zbl = {1002.18002},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_2002__43_2_83_0/}
}
TY  - JOUR
AU  - Adámek, J.
AU  - Herrlich, H.
AU  - Rosický, J.
AU  - Tholen, W.
TI  - On a generalized small-object argument for the injective subcategory problem
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 2002
SP  - 83
EP  - 106
VL  - 43
IS  - 2
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_2002__43_2_83_0/
LA  - en
ID  - CTGDC_2002__43_2_83_0
ER  - 
%0 Journal Article
%A Adámek, J.
%A Herrlich, H.
%A Rosický, J.
%A Tholen, W.
%T On a generalized small-object argument for the injective subcategory problem
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 2002
%P 83-106
%V 43
%N 2
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_2002__43_2_83_0/
%G en
%F CTGDC_2002__43_2_83_0
Adámek, J.; Herrlich, H.; Rosický, J.; Tholen, W. On a generalized small-object argument for the injective subcategory problem. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 43 (2002) no. 2, pp. 83-106. http://www.numdam.org/item/CTGDC_2002__43_2_83_0/

[1] J. Adámek, H. Herrlich and G.E. Strecker: Abstract and Concrete Categories, John Wiley, New York 1990. | MR | Zbl

[2] J. Adámek, H. Herrlich, J. Rosický and W. Tholen: Injective hulls are not natural, to appear in Alg. Univ. | MR | Zbl

[3] J. Adámek and J. Rosicky: Locally presentable and accessible categories, Cambridge University Press, 1994. | MR | Zbl

[4] T. Beke: Sheafifiable homotopy model categories, Math. Proc. Cambridge Philos. Soc. 129 (2000), 447-475. | MR | Zbl

[5] C. Cassidy, M. Hebert, G.M. Kelly: Reflective subcategories, localizations and factorization systems, J. Austral. Math. Soc. 38 (1985), 287-329. | MR | Zbl

[6] P. Gabriel and F. Ulmer: Lokal Präsentiebare Kategorien, Springer Lecture Notes Math. 221, Springer-Verlag Berlin, 1971. | MR | Zbl

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

[8] M.D. Hirschhorn: Localizations of model categories, preprint 1998, http://www.math.mit.edu/psh.

[9] H. Herrlich: Almost reflective subcategories of Top, Topology Appl. 49 (1993), 251-264. | MR | Zbl

[10] M. Kelly: A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on, Bull. Austral. Math. Soc. 22 (1980), 1-84. | MR | Zbl

[11] V. Koubek and J. Reiterman: Categorical constructions of free algebras, colimits and completions of partial algebras, J. Pure Appl. Algebra 14 (1979), 195-231. | MR | Zbl

[12] D. Quillen: Homotopical algebra, Lecture Notes Math. 43, Springer-Verlag, Berlin 1967. | MR | Zbl

[13] J. Reiterman: Categorical algebraic constructions, Charles University dissertation (in Czech), Prague 1976.

[14] C.M. Ringel: Diagonalisierungspaare I., Math. Z. 117 (1970), 240-266. | MR | Zbl