Firm reflections generated by complete metric spaces

E. Colebunders; A. Gerlo

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2007)

  • Volume: 48, Issue: 4, page 243-260
  • ISSN: 1245-530X

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Colebunders, E., and Gerlo, A.. "Firm reflections generated by complete metric spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 48.4 (2007): 243-260. <http://eudml.org/doc/91723>.

@article{Colebunders2007,
author = {Colebunders, E., Gerlo, A.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {4},
pages = {243-260},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Firm reflections generated by complete metric spaces},
url = {http://eudml.org/doc/91723},
volume = {48},
year = {2007},
}

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
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 48
IS - 4
SP - 243
EP - 260
LA - eng
UR - http://eudml.org/doc/91723
ER -

References

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  2. [2] G.C.L. Brümmer and M. Sioen. Asymmetry and bicompletion of approach spaces, Topology Appl., 153 (2006), 3101-3112. Zbl1106.54005MR2259812
  3. [3] G.C.L. Brümmer and E. Giuli. A categorical concept of completion of objects, Comment. Math. Univ. Carolinae 33,1, 1992, 131-147. Zbl0760.18005MR1173755
  4. [4] G.C.L. Brümmer, E. Giuli and H. Herrlich. Epireflections which are completions, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. XXXIII, 1992, 71-93. Zbl0760.18004MR1163428
  5. [5] V. Claes, E. Colebunders and A. Gerlo. Epimorphisms and Cowellpoweredness for Separated Metrically Generated Theories, Acta Math. Hungar., 114(1-2):133-152, 2007. Zbl1121.54023MR2294919
  6. [6] E. Colebunders and R. Lowen. Metrically generated theories, Proc. Amer. Math. Soc. 133 (2005), 1547-1556. Zbl1073.54006MR2111956
  7. [7] E. Colebunders, R. Lowen and M. Sioen. Saturated collections of metrics, Categorical structures and their applications, World Scientific, 2003, 51-65. Zbl1068.54001MR2126991
  8. [8] D. Dikranjan, H.P. KünziSeparation and epimorphisms in quasi uniform spaces, Applied Categ. Struct. 8 (2000), 175-207. Zbl0964.54021MR1785843
  9. [9] D. Dikranjan, W. Tholen. Categorical Structure of Closure Operators, Kluwer Academic Publishers, Dordrecht, 1995. Zbl0853.18002MR1368854
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  11. [11] A. Gerlo, E. Vandersmissen en C. Van Olmen. Sober approach spaces are firmly reflective for the class of epimorphic embeddings, Applied Categ. Struct. 14 (3) (2006), 251-258. Zbl1120.54009MR2248547
  12. [12] H.P. Künzi. Quasi Uniform spaces- eleven years later, Topology Proc., 18, 1993, 143-171. Zbl0815.54020MR1305128
  13. [13] R. Lowen. Approach Spaces: the Missing Link in the Topology Uniformity Metric Triad, Oxford Mathematical Monographs, Oxford University Press, 1997. Zbl0891.54001MR1472024
  14. [14] R. Lowen and B. WindelsAUnif: a common supercategory of pMet and Unif Internat. J. Math. Math. Sci. 21, 2000, 447-461. Zbl0890.54024MR1486952
  15. [15] Th. Marny. On epireflective subcategories of topological categories, General Topology Appl., 10(2), 1979, 175-181. Zbl0415.54007MR527843
  16. [16] A.F. Monna. Remarques sur les métriques non-Archimédiennes I, II, Indag Math. 12, 1950, 122-133 and 179-191. Zbl0038.10404
  17. [17] G. Preuss. Theory of Topological Structures, Mathematics and its Applications, Kluwer Academic Publishers, 1988. Zbl0649.54001MR937052

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