Weakly hereditary regular closure operators
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 37 (1996) no. 4, pp. 279-293.
@article{CTGDC_1996__37_4_279_0,
     author = {Fay, Temple H.},
     title = {Weakly hereditary regular closure operators},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {279--293},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {37},
     number = {4},
     year = {1996},
     mrnumber = {1428552},
     zbl = {0870.18003},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_1996__37_4_279_0/}
}
TY  - JOUR
AU  - Fay, Temple H.
TI  - Weakly hereditary regular closure operators
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 1996
SP  - 279
EP  - 293
VL  - 37
IS  - 4
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_1996__37_4_279_0/
LA  - en
ID  - CTGDC_1996__37_4_279_0
ER  - 
%0 Journal Article
%A Fay, Temple H.
%T Weakly hereditary regular closure operators
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 1996
%P 279-293
%V 37
%N 4
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_1996__37_4_279_0/
%G en
%F CTGDC_1996__37_4_279_0
Fay, Temple H. Weakly hereditary regular closure operators. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 37 (1996) no. 4, pp. 279-293. http://www.numdam.org/item/CTGDC_1996__37_4_279_0/

[1] A Arhangel'Skiĭ and R. Wiegant, "Connectednesses and disconectednesses in topology", Gen. Topology Appl. 5 (1975), 9-33. | MR | Zbl

[2] C. Cassidy, M. Hébert, and G.M. Kelly, "Reflective subcategories, localizations and factorization systems", J. Austral. Math. Soc. (Series A) 38 (1985), 287-329. | MR | Zbl

[3] G. Castellini, "Closure operators, monomorphisms and epimorphisms in categories of groups", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXVII-2 (1986), 151-167. | Numdam | MR | Zbl

[4] G. Castellini, "Compact objects, surjectivity of epimorphisms and compactifications", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXI-1 (1990), 53-65. | Numdam | MR | Zbl

[5] G. Castellini, "Regular closure and compactness", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXIII- 1 (1992), 21-31. | Numdam | MR | Zbl

[6] G. Castellini and E. Giuli, "Hereditarity of closure operators and injectivity", Comment. Math. Univ. Carolinae 33 (1992), 149-157. | MR | Zbl

[7] M.M. Clementino, "Weakly hereditary closure operators", Topology and its Applications 49 (1993), 129-139. | MR | Zbl

[8] D. Dikranjan and E. Giuli, "Closure operators I", Topology and its Applications 27 (1987), 129-143. | MR | Zbl

[9] D. Dikranjan and E. Giuli, "Factorizations, injectivity and compactness in categories of modules", Communications in Algebra 19 (1991), 45-83. | MR | Zbl

[10] D. Dikranjan, E. Giuli, and W. Tholen, "Closure operators II", in: Categorical Topology and its Relation to Analysis, Algebra, and Combinatorics, Proceedings International Conference Prague, 1988 (World Scientific, Singapore, 1989) 297-335. | MR

[11] T.H. Fay, "Compact modules", Communications in Algebra, 16 (1988), 1209-1219. | MR | Zbl

[12] T.H. Fay, "Remarks on the Mal'cev completion of torsion-free locally nilpotent groups", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXV-1 (1994), 75-84. | Numdam | MR | Zbl

[13] T.H. Fay and G.L. Walls, "Compact nilpotent groups", Communications in Algebra, 17 (1989), 2255-2268. | MR | Zbl

[14] T.H. Fay and G.L. Walls, "Categorically compact locally nilpotent groups", Communications in Algebra, 18 (1990), 3423-3435. | MR | Zbl

[15] T.H. Fay and G.L. Walls, "Categorically compact locally nilpotent groups: a corrigendum", Communications in Algebra, 20 (1992), 1019-1022. | MR | Zbl

[16] T.H. Fay and G.L. Walls, "Completions and categorical compactness for nilpotent groups", Quaestiones Mathematicae, 17 (1994), 437 - 451. | MR | Zbl

[17] T.H. Fay and G.L. Walls, "A characterization of categorically compact locally nilpotent groups", Communications in Algebra, 22 (1994), 3213 - 3225. | MR | Zbl

[18] T.H. Fay and G.L. Walls, "Regular and" normal closure operators and categorical compactness for groups, Applied Categorical Structures 3 (1995), 261 - 278. | MR | Zbl

[19] H. Herrlich and G.E. Strecker, Category Theory. (Allyn and Bacon Inc., Boston, 1973.) | MR | Zbl

[20] H. Herrlich, G. Salicrup, and G.E. Strecker, "Factorizations, denseness, separation, and relatively compact objects", Topology and its Applications 27 (1987), 157-169. | MR | Zbl

[21] E.G. Manes, "Compact Hausdorff objects", Topology and its Applications 4 (1979), 341-360. | MR | Zbl

[22] W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Second Revised Edition. (Dover Publications, New York, 1976.) | MR | Zbl

[23] S. Salbany, "Reflective subcategories and closure operators", Proceedings Conference Categorical Topology (Mannheim 1975), Lecture Notes in Mathematics 540 pp. 548-565, Springer-Verlag, Berlin. | MR | Zbl