@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},
year = {2007},
publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
volume = {48},
number = {4},
mrnumber = {2394012},
zbl = {1293.18001},
language = {en},
url = {https://www.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 - https://www.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 https://www.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. https://www.numdam.org/item/CTGDC_2007__48_4_243_0/
[1] , and . Abstract and Concrete Categories, John Wiley & Sons, New York, 1990. | Zbl | MR
[2] and . Asymmetry and bicompletion of approach spaces, Topology Appl., 153 (2006), 3101-3112. | Zbl | MR
[3] and . A categorical concept of completion of objects, Comment. Math. Univ. Carolinae 33,1, 1992, 131-147. | Zbl | MR
[4] , and . Epireflections which are completions, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. XXXIII, 1992, 71-93. | Zbl | MR | Numdam
[5] , and . Epimorphisms and Cowellpoweredness for Separated Metrically Generated Theories, Acta Math. Hungar., 114(1-2):133-152, 2007. | Zbl | MR
[6] and . Metrically generated theories, Proc. Amer. Math. Soc. 133 (2005), 1547-1556. | Zbl | MR
[7] , and . Saturated collections of metrics, Categorical structures and their applications, World Scientific, 2003, 51-65. | Zbl | MR
[8] , Separation and epimorphisms in quasi uniform spaces, Applied Categ. Struct. 8 (2000), 175-207. | Zbl | MR
[9] , . Categorical Structure of Closure Operators, Kluwer Academic Publishers, Dordrecht, 1995. | Zbl | MR
[10] , , and . Gap functionals, proximities and hyperspace compactifications, Topology Appl., 153 (2005), 774-785. | Zbl | MR
[11] , en . Sober approach spaces are firmly reflective for the class of epimorphic embeddings, Applied Categ. Struct. 14 (3) (2006), 251-258. | Zbl | MR
[12] . Quasi Uniform spaces- eleven years later, Topology Proc., 18, 1993, 143-171. | Zbl | MR
[13] . Approach Spaces: the Missing Link in the Topology Uniformity Metric Triad, Oxford Mathematical Monographs, Oxford University Press, 1997. | Zbl | MR
[14] and AUnif: a common supercategory of pMet and Unif Internat. J. Math. Math. Sci. 21, 2000, 447-461. | Zbl | MR | EuDML
[15] . On epireflective subcategories of topological categories, General Topology Appl., 10(2), 1979, 175-181. | Zbl | MR
[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. | Zbl | MR





