@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://archive.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://archive.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://archive.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://archive.numdam.org/item/CTGDC_1996__37_4_279_0/
[1] Connectednesses and disconectednesses in topology", Gen. Topology Appl. 5 (1975), 9-33. | MR | Zbl
and , "[2] Reflective subcategories, localizations and factorization systems", J. Austral. Math. Soc. (Series A) 38 (1985), 287-329. | MR | Zbl
, , and , "[3] 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] Compact objects, surjectivity of epimorphisms and compactifications", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXI-1 (1990), 53-65. | Numdam | MR | Zbl
, "[5] Regular closure and compactness", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXIII- 1 (1992), 21-31. | Numdam | MR | Zbl
, "[6] Hereditarity of closure operators and injectivity", Comment. Math. Univ. Carolinae 33 (1992), 149-157. | MR | Zbl
and , "[7] Weakly hereditary closure operators", Topology and its Applications 49 (1993), 129-139. | MR | Zbl
, "[8] Closure operators I", Topology and its Applications 27 (1987), 129-143. | MR | Zbl
and , "[9] Factorizations, injectivity and compactness in categories of modules", Communications in Algebra 19 (1991), 45-83. | MR | Zbl
and , "[10] 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
, , and , "[11] Compact modules", Communications in Algebra, 16 (1988), 1209-1219. | MR | Zbl
, "[12] 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] Compact nilpotent groups", Communications in Algebra, 17 (1989), 2255-2268. | MR | Zbl
and , "[14] Categorically compact locally nilpotent groups", Communications in Algebra, 18 (1990), 3423-3435. | MR | Zbl
and , "[15] Categorically compact locally nilpotent groups: a corrigendum", Communications in Algebra, 20 (1992), 1019-1022. | MR | Zbl
and , "[16] Completions and categorical compactness for nilpotent groups", Quaestiones Mathematicae, 17 (1994), 437 - 451. | MR | Zbl
and , "[17] A characterization of categorically compact locally nilpotent groups", Communications in Algebra, 22 (1994), 3213 - 3225. | MR | Zbl
and , "[18] Regular and" normal closure operators and categorical compactness for groups, Applied Categorical Structures 3 (1995), 261 - 278. | MR | Zbl
and , "[19] Category Theory. (Allyn and Bacon Inc., Boston, 1973.) | MR | Zbl
and ,[20] Factorizations, denseness, separation, and relatively compact objects", Topology and its Applications 27 (1987), 157-169. | MR | Zbl
, , and , "[21] Compact Hausdorff objects", Topology and its Applications 4 (1979), 341-360. | MR | Zbl
, "[22] Combinatorial Group Theory, Second Revised Edition. (Dover Publications, New York, 1976.) | MR | Zbl
, , and ,[23] Reflective subcategories and closure operators", Proceedings Conference Categorical Topology (Mannheim 1975), Lecture Notes in Mathematics 540 pp. 548-565, Springer-Verlag, Berlin. | MR | Zbl
, "