Weakly hereditary regular closure operators
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1996)
- Volume: 37, Issue: 4, page 279-293
- ISSN: 1245-530X
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topFay, Temple H.. "Weakly hereditary regular closure operators." Cahiers de Topologie et Géométrie Différentielle Catégoriques 37.4 (1996): 279-293. <http://eudml.org/doc/91583>.
@article{Fay1996,
author = {Fay, Temple H.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {closure operators; quasi-additive categories; pullbacks; cokernels; generalized torsion theories; regular operators; category of topological spaces; weakly hereditary},
language = {eng},
number = {4},
pages = {279-293},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Weakly hereditary regular closure operators},
url = {http://eudml.org/doc/91583},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Fay, Temple H.
TI - Weakly hereditary regular closure operators
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1996
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 37
IS - 4
SP - 279
EP - 293
LA - eng
KW - closure operators; quasi-additive categories; pullbacks; cokernels; generalized torsion theories; regular operators; category of topological spaces; weakly hereditary
UR - http://eudml.org/doc/91583
ER -
References
top- [1] A Arhangel'skiĭ and R. Wiegant, "Connectednesses and disconectednesses in topology", Gen. Topology Appl.5 (1975), 9-33. Zbl0329.54008MR367920
- [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. Zbl0573.18002MR779198
- [3] G. Castellini, "Closure operators, monomorphisms and epimorphisms in categories of groups", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXVII-2 (1986), 151-167. Zbl0592.18001MR850530
- [4] G. Castellini, "Compact objects, surjectivity of epimorphisms and compactifications", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXI-1 (1990), 53-65. Zbl0705.18002MR1060607
- [5] G. Castellini, "Regular closure and compactness", Cahiers de Topologie et Géométrie Différentielle Catégoriques XXXIII-1 (1992), 21-31. Zbl0773.54010MR1163425
- [6] G. Castellini and E. Giuli, "Hereditarity of closure operators and injectivity", Comment. Math. Univ. Carolinae33 (1992), 149-157. Zbl0758.18002MR1173756
- [7] M.M. Clementino, "Weakly hereditary closure operators", Topology and its Applications49 (1993), 129-139. Zbl0781.18001MR1206220
- [8] D. Dikranjan and E. Giuli, "Closure operators I", Topology and its Applications27 (1987), 129-143. Zbl0634.54008MR911687
- [9] D. Dikranjan and E. Giuli, "Factorizations, injectivity and compactness in categories of modules", Communications in Algebra19 (1991), 45-83. Zbl0726.16005MR1092551
- [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. MR1047909
- [11] T.H. Fay, "Compact modules", Communications in Algebra, 16 (1988), 1209-1219. Zbl0653.16020MR939039
- [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. Zbl0815.20025MR1268532
- [13] T.H. Fay and G.L. Walls, "Compact nilpotent groups", Communications in Algebra, 17 (1989), 2255-2268. Zbl0683.20028MR1016864
- [14] T.H. Fay and G.L. Walls, "Categorically compact locally nilpotent groups", Communications in Algebra, 18 (1990), 3423-3435. Zbl0739.20012MR1063986
- [15] T.H. Fay and G.L. Walls, "Categorically compact locally nilpotent groups: a corrigendum", Communications in Algebra, 20 (1992), 1019-1022. Zbl0751.20031MR1154399
- [16] T.H. Fay and G.L. Walls, "Completions and categorical compactness for nilpotent groups", Quaestiones Mathematicae, 17 (1994), 437 - 451. Zbl0829.20050MR1312139
- [17] T.H. Fay and G.L. Walls, "A characterization of categorically compact locally nilpotent groups", Communications in Algebra, 22 (1994), 3213 - 3225. Zbl0805.20028MR1278789
- [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. Zbl0835.20071MR1354678
- [19] H. Herrlich and G.E. Strecker, Category Theory. (Allyn and Bacon Inc., Boston, 1973.) Zbl0265.18001MR349791
- [20] H. Herrlich, G. Salicrup, and G.E. Strecker, "Factorizations, denseness, separation, and relatively compact objects", Topology and its Applications27 (1987), 157-169. Zbl0629.18003MR911689
- [21] E.G. Manes, "Compact Hausdorff objects", Topology and its Applications4 (1979), 341-360. Zbl0289.54003MR367901
- [22] W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Second Revised Edition. (Dover Publications, New York, 1976.) Zbl0362.20023MR422434
- [23] S. Salbany, "Reflective subcategories and closure operators", Proceedings Conference Categorical Topology (Mannheim1975), Lecture Notes in Mathematics 540 pp. 548-565, Springer-Verlag, Berlin. Zbl0335.54003MR451186
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