@article{CTGDC_1992__33_1_71_0, author = {Brummer, G. C. L. and Giuli, E. and Herrlich, Horst}, title = {Epireflections which are completions}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {33}, year = {1992}, pages = {71-93}, mrnumber = {1163428}, zbl = {0760.18004}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_1992__33_1_71_0} }
Brummer, G. C. L.; Giuli, E.; Herrlich, H. Epireflections which are completions. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 33 (1992) pp. 71-93. http://gdmltest.u-ga.fr/item/CTGDC_1992__33_1_71_0/
1 Zur Theorie der topologischen Räume, Math. Ann. 92 (1924) 258-266. | JFM 50.0128.06 | MR 1512213
and ,2 An epi-reflector for universal theories, Canad. Math. Bull. 16 (1973) 167-171. | MR 335589 | Zbl 0265.08008
,3 Projective covers in categories of topological spaces and topological algebras, General Topology and its Relations to Modern Analysis and Algebra (Proc. Conf. Kanpur 1968, Academia, Prague-Academic Press, New York, 1971) pp. 63-91. | MR 284388 | Zbl 0227.54005
,4 Biframes and bispaces, Quaestiones Math. 6 (1983) 13-25. | MR 700237 | Zbl 0513.06005
, and ,5 Injective hulls in the category of distributive lattices, J. Reine Angew. Math. 232 (1968) 102-109. | MR 237607 | Zbl 0186.30606
and ,6 Subcategories defined by implications, Houston J. Math. 2 (1977) 149-171. | MR 401867 | Zbl 0344.18002
and ,7 Completion as reflection, Comment. Math. Univ. Carolin 19 (1978) 541-568. | MR 508960 | Zbl 0407.54020
and ,8 Completeness for nearness spaces, Math. Centre Tracts (Amsterdam) 115 (1979) pp. 29-40. | MR 565823 | Zbl 0419.54014
and ,9 A survey of minimal topological spaces, General Topology and its Relations to Modern Analysis and Algebra (Proc. Conf. Kanpur 1968, Academia, Prague-Academic Press, New York, 1971) pp. 93-114. | MR 278254 | Zbl 0235.54018
, and ,10 The meaning of completeness, Ann. Math. 38 (1937) 57-60. | MR 1503324 | Zbl 0016.08503
,11 Eléments de mathematique: Livre III: Topologie Générale, Chapitre 3 (Hermann, Paris, 1960).
,12 Cech-Stone compactifications of pseudotopological spaces, Math. Nachr. 128 (1986) 259-264. | MR 855961 | Zbl 0602.54027
and ,13 On the non-unique extension of topological to bitopological properties, Categorical aspects of Topology and Analysis, Lecture Notes in Math. 915 (Springer, Berlin, 1982) pp. 50-67. | MR 659883 | Zbl 0491.54025
,14 Fondements de la topologie générale, (Akademiai Kiado, Budapest, 1960). | MR 113205 | Zbl 0091.35702
,15 Foundations of general topology (Revised and extended edition of [14]) (Pergamon Press, Oxford, 1963). | MR 157340 | Zbl 0108.35304
,16 Urysohn-closed spaces: old and new, unpublished manuscript, University of L'Aquila, 1984.
and ,17 Ordinal invariants and epimorphisms in categories of weak Hausdorff spaces, Comment. Math. Univ. Carolin. 27 (1986) 395-417. | MR 857557 | Zbl 0627.54005
and ,18 Closure operators I, Topology Appl. 27 (1987) 129-143. | MR 911687 | Zbl 0634.54008
and ,19 S(n)-θ-closed spaces, Topology Appl. 28 (1988) 59-74. | MR 927282 | Zbl 0658.54015
and ,20 Epimorphisms in categories of convergence spaces, preprint, University of L'Aquila, 1988. | MR 927282
and ,21 Epimorphisms and completeness in categories of modules, preprint, University of L'Aquila, 1990.
and ,22 Closure operators II, in: Categorical Topology (Proc. Conf., Prague, 1988), 297-335, World Sci. Publ., Singapore, 1989. | MR 1047909
, and ,23 The construct PRO of projection spaces: its internal structure, in: Categorical methods in Computer Science, Lecture Notes in Computer Science 393 (Springer-Verlag, Berlin, 1989), 286-293. | MR 1048368 | Zbl 0734.68010
and ,24 Quasi-uniform spaces, (Marcel Dekker, New York, 1982). | MR 660063 | Zbl 0501.54018
and ,25 Realcompact Alexandroff spaces and regular σ- frames. Thesis, Univ. Cape Town, 1981. Reprinted as Math. Monographs Univ. Cape Town, no. 3, Cape Town, 1985. | MR 814494 | Zbl 0601.54019
,26 On m-projection spaces. Preprint, University of L'Aquila, 1989.
,27 A diagonal theorem for epireflective subcategories of Top and co-well-poweredness, Ann. Mat. Pura Appl. 145 (1986) 337-346. | MR 886716 | Zbl 0617.54006
and ,28 2T0-spaces and closure operators, Seminarberichte Fach. Math. und Inf. (Fern Universität Ha-gen) 28 (1988) 11-40.
and ,29 Spaces in which every bounded subset is Hausdorff, Topology Appl. 37 (1990), 267-274. | MR 1082937 | Zbl 0719.54009
and ,30 Rings of functions determined by zero-sets, Pacific J. Math. 36 (1971) 133-157. | MR 320996 | Zbl 0185.38803
,31 Some nearly fine uniform spaces, Proc. London Math. Soc. 28 (1974) 537-546. | MR 397670 | Zbl 0284.54017
,32 Categorical Topology, Gen. Topology Appl. 1 (1971) 1-15. | MR 283744 | Zbl 0215.51501
,33 Cartesian closed topological categories, Math. Colloq. Univ. Cape Town 9 (1974) 1-16. | MR 460414 | Zbl 0318.18011
,34 Categorical Topology 1971-1981, General Topology and its Applications to Modern Analysis and Algebra V, Proc. Symp. Prague 1981, (Heldermann Verlag, Berlin 1982) pp. 272-383. | MR 698425 | Zbl 0502.54001
,35 Topological structures and injectivity, Rend. Circ. Mat. Palermo Suppl. 12 (1986) 87-92. | MR 853149 | Zbl 0589.54018
,36 Category Theory (Heldermann Verlag, 2a Ed., 1979). | MR 571016 | Zbl 0437.18001
and ,37 (E, M)-universally topological functors, Habilitationsschrift, Univ. Düsseldorl, 1974.
,38 Topological functors admitting generalized Cauchy-completions, Categorical Topology, Lecture Notes in Math. 540 (Springer, Berlin, 1976) pp. 286-344. | MR 644648 | Zbl 0421.18002
,39 Epimorphisms and dominions II, J. Algebra 6 (1967) 7-21. | MR 209203 | Zbl 0211.33303
and ,40 Théorie des bornologies et applications, Lecture Notes in Math. 213 (Springer-Verlag, 1971). | MR 625157 | Zbl 0225.46005
,41 Uniform Spaces, (Amer. Math. Soc., Providence RI, 1964). | MR 170323 | Zbl 0124.15601
,42 Epimorphisms and dominions, Proc. Confer. Categorical Algebra (La Jolla, 1965) (Springer, Berlin, 1966) pp. 232-246. | MR 209202 | Zbl 0194.01601
,43 Bitopological spaces, Proc. London Math. Soc. (3) 13 (1963) 71-89. | MR 143169 | Zbl 0107.16401
,44 Compendium on amalgamation, congruence extension, epimorphisms, residual smallness and injectivity, Studia Sci. Math. Hungar. 18 (1983) 79-141. | MR 759319 | Zbl 0549.08001
, , and ,45 On epireflective subcategories of topological categories, General Topology Appl. 10 (1979) 175-181. | MR 527843 | Zbl 0415.54007
,46 Some categorical aspects of simplicial complexes Quaestiones Math. 6 (1983) 313-322. | MR 734652 | Zbl 0535.18007
,47 Bitopological spaces, compactifications and completions, Ph.D. thesis, Univ. Cape Town, 1970. Reprinted as Math. Monographs Univ. Cape Town, no. 1, 1974. | MR 425919 | Zbl 0353.54021
,48 The category of Urysohn spaces is not co-well-powered, Topology Appl. 16 (1983) 237-241. | MR 722116 | Zbl 0534.54004
,49 Continuous lattices, Lecture Notes in Math. 274 (Springer, Berlin, 1972) pp. 97-136. | MR 404073 | Zbl 0239.54006
,50 Absolutely closed spaces and categories of algebras, Portugaliae Math. 47 (1990), 341-351. | MR 1090472 | Zbl 0732.18001
,51 Some unsolved problems concerning P-minimal and P-closed spaces, in: Proc. Charlotte Topol. Conf. (Academic Press, New York, 1974) 249-257. | MR 448305 | Zbl 0348.54012
, Jr.,52 Injective objects and cogenerating sets, J. Algebra 73 (1981) 139-155. | MR 641637 | Zbl 0487.18014
,53 Sur les espaces a structure uniforme et sur la topologie générale, Hermann, Paris, 1937. | JFM 63.0569.04 | Zbl 0019.18604
,54 T0-objects and separated objects in topological categories, preprint, 1988. | MR 1123910 | Zbl 0756.54011
,55 Cartesisch abgeschlossene monotopologische Hüllen and die Rolle der T0 -Reflexion. Dissertation, Univ. Hannover 1988. | Zbl 1077.54500
,