Orthogonality and closure operators
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 36 (1995) no. 4, pp. 323-343.
@article{CTGDC_1995__36_4_323_0,
     author = {Sousa, Lurdes},
     title = {Orthogonality and closure operators},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {323--343},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {36},
     number = {4},
     year = {1995},
     mrnumber = {1367590},
     zbl = {0842.18001},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_1995__36_4_323_0/}
}
TY  - JOUR
AU  - Sousa, Lurdes
TI  - Orthogonality and closure operators
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 1995
SP  - 323
EP  - 343
VL  - 36
IS  - 4
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://archive.numdam.org/item/CTGDC_1995__36_4_323_0/
LA  - en
ID  - CTGDC_1995__36_4_323_0
ER  - 
%0 Journal Article
%A Sousa, Lurdes
%T Orthogonality and closure operators
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 1995
%P 323-343
%V 36
%N 4
%I Dunod éditeur, publié avec le concours du CNRS
%U http://archive.numdam.org/item/CTGDC_1995__36_4_323_0/
%G en
%F CTGDC_1995__36_4_323_0
Sousa, Lurdes. Orthogonality and closure operators. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 36 (1995) no. 4, pp. 323-343. http://archive.numdam.org/item/CTGDC_1995__36_4_323_0/

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

[2] J. Adámek and J. Rosický, Intersections of reflective subcategories, Proc. Amer. Math. Soc. 103 (1988), 710-712. | MR | Zbl

[3] D. Dikranjan and E. Giuli, Closure operators I, Top. and its Appl. 27 (1987), 129-143. | MR | Zbl

[4] D. Dikranjan and E. Giuli, Urysohn-closed spaces, old and new, preprint.

[5] D. Dikranjan, E. Giuli and W. Tholen, Closure operators II, in: Categorical Topology and its relstions to Analysis, Algebra and Combinatorics (Conference Proceedings, Prague 1988), pp.297-335. | MR

[6] P.J. Freyd and G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra 2 (1972), 169-191. | MR | Zbl

[7] H. Herrlich and M. Hušek, Some open categorical problems in Top, Appl. Cat. Structures 1 (1993), 1-19. | MR | Zbl

[8] R.E. Hoffmann, Topological functors admitting generalized Cauchy-completions, in: Proc. Conf. "Categorical Topology, Manheim 1975", Lecture Notes in Math. 540 (1976), pp. 286-344. | MR | Zbl

[9] J.R. Isbell, Epimorphisms and dominions, in:Proc. Conf. Categorical Algebra (La Jolla 1965), Springer-Verlag, Berlin-Heidelberg -New York 1966, pp. 232-246. | MR | Zbl

[10] S. Maclane, Categories for the Working Mathematician, Springer-Verlag, Berlin-Heidelberg- New York 1971. | MR | Zbl

[11] J. Rosický, Semi-initial completions, J. Pure Appl. Algebra 40 (1986), 177-183. | MR | Zbl

[12] J. Rosický and W. Tholen, Orthogonal and prereflective subcategories, Cah. Top. Géom. Diff. Cat. 29 (1988), 203-215. | Numdam | MR | Zbl

[13] S. Salbany, Reflective subcategories and closure operators, in: Proc. Conf. "Categorical Topology, Manheim 1975", Lecture Notes in Math. 540 (1976), pp. 548-565. | MR | Zbl

[14] M. Sobral, Absolutely closed spaces and categories of algebras, Portugaliae Math. 47 (1990), 341-351. | MR | Zbl

[15] L. Sousa, Solid hulls of concrete categories, submitted. | Zbl

[16] W. Tholen, Factorizations, localizations, and the orthogonal sub-category problem, Math. Nachr. 114 (1983), 63-85. | MR | Zbl

[17] W. Tholen, Reflective subcategories, Top. and its Appl. 27 (1987), 201-212. | MR | Zbl

[18] T. Trnková, J. Adámek and J. Rosický, Topological reflections revisited, Proc. of the Amer. Math. Soc. 108 (1990), 605-612. | MR | Zbl