@article{CTGDC_2007__48_4_243_0, author = {Colebunders, E. and Gerlo, A.}, title = {Firm reflections generated by complete metric spaces}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {243--260}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {48}, number = {4}, year = {2007}, mrnumber = {2394012}, zbl = {1293.18001}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_2007__48_4_243_0/} }
TY - JOUR AU - Colebunders, E. AU - Gerlo, A. TI - Firm reflections generated by complete metric spaces JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2007 SP - 243 EP - 260 VL - 48 IS - 4 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_2007__48_4_243_0/ LA - en ID - CTGDC_2007__48_4_243_0 ER -
%0 Journal Article %A Colebunders, E. %A Gerlo, A. %T Firm reflections generated by complete metric spaces %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 2007 %P 243-260 %V 48 %N 4 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_2007__48_4_243_0/ %G en %F CTGDC_2007__48_4_243_0
Colebunders, E.; Gerlo, A. Firm reflections generated by complete metric spaces. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 48 (2007) no. 4, pp. 243-260. http://archive.numdam.org/item/CTGDC_2007__48_4_243_0/
[1] Abstract and Concrete Categories, John Wiley & Sons, New York, 1990. | MR | Zbl
, and .[2] Asymmetry and bicompletion of approach spaces, Topology Appl., 153 (2006), 3101-3112. | MR | Zbl
and .[3] A categorical concept of completion of objects, Comment. Math. Univ. Carolinae 33,1, 1992, 131-147. | MR | Zbl
and .[4] Epireflections which are completions, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. XXXIII, 1992, 71-93. | Numdam | MR | Zbl
, and .[5] Epimorphisms and Cowellpoweredness for Separated Metrically Generated Theories, Acta Math. Hungar., 114(1-2):133-152, 2007. | MR | Zbl
, and .[6] Metrically generated theories, Proc. Amer. Math. Soc. 133 (2005), 1547-1556. | MR | Zbl
and .[7] Saturated collections of metrics, Categorical structures and their applications, World Scientific, 2003, 51-65. | MR | Zbl
, and .[8] Separation and epimorphisms in quasi uniform spaces, Applied Categ. Struct. 8 (2000), 175-207. | MR | Zbl
,[9] Categorical Structure of Closure Operators, Kluwer Academic Publishers, Dordrecht, 1995. | MR | Zbl
, .[10] Gap functionals, proximities and hyperspace compactifications, Topology Appl., 153 (2005), 774-785. | MR | Zbl
, , and .[11] Sober approach spaces are firmly reflective for the class of epimorphic embeddings, Applied Categ. Struct. 14 (3) (2006), 251-258. | MR | Zbl
, en .[12] Quasi Uniform spaces- eleven years later, Topology Proc., 18, 1993, 143-171. | MR | Zbl
.[13] Approach Spaces: the Missing Link in the Topology Uniformity Metric Triad, Oxford Mathematical Monographs, Oxford University Press, 1997. | MR | Zbl
.[14] AUnif: a common supercategory of pMet and Unif Internat. J. Math. Math. Sci. 21, 2000, 447-461. | EuDML | MR | Zbl
and[15] On epireflective subcategories of topological categories, General Topology Appl., 10(2), 1979, 175-181. | MR | Zbl
.[16] Remarques sur les métriques non-Archimédiennes I, II, Indag Math. 12, 1950, 122-133 and 179-191. | Zbl
.[17] Theory of Topological Structures, Mathematics and its Applications, Kluwer Academic Publishers, 1988. | MR | Zbl
.