The cartesian closed hull of the category of approach spaces

E. Lowen-Colebunders; R. Lowen; M. Nauwelaerts

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2001)

  • Volume: 42, Issue: 4, page 242-260
  • ISSN: 1245-530X

How to cite

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Lowen-Colebunders, E., Lowen, R., and Nauwelaerts, M.. "The cartesian closed hull of the category of approach spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 42.4 (2001): 242-260. <http://eudml.org/doc/91648>.

@article{Lowen2001,
author = {Lowen-Colebunders, E., Lowen, R., Nauwelaerts, M.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Cartesian closed topological hull; approach spaces},
language = {eng},
number = {4},
pages = {242-260},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The cartesian closed hull of the category of approach spaces},
url = {http://eudml.org/doc/91648},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Lowen-Colebunders, E.
AU - Lowen, R.
AU - Nauwelaerts, M.
TI - The cartesian closed hull of the category of approach spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2001
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 42
IS - 4
SP - 242
EP - 260
LA - eng
KW - Cartesian closed topological hull; approach spaces
UR - http://eudml.org/doc/91648
ER -

References

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  1. [1] J. Adámek, H. Herrlich and G.E. Strecker, Abstract and concrete categories, Wiley, New York et al., (1990). Zbl0695.18001MR1051419
  2. [2] J. Adámek and J. Reiterman, Cartesian closed hull for metric spaces, Comment. Math. Univ. Carolinae31,1(1990), 1-6. Zbl0702.18002MR1056163
  3. [3] Ph. Antoine, Étude élémentaire d'ensembles structurés, Bull. Soc. Math. BelgeXVIII2 et 4 (1966). Zbl0192.10105
  4. [4] G. Bourdaud, Espaces d'Antoine et semi-espaces d'Antoine, Cahiers Topol. Géom. Diff. Cat.16 (1975), 107-133. Zbl0315.54005MR394529
  5. [5] G. Bourdaud, Some cartesian closed topological categories of convergence spaces, in: E. Binz and H. Herrlich (eds.), Categorical Topology (Proc. Mannheim 1975), Lecture Notes Math.540, Springer, Berlin et al. (1976), 93-108. Zbl0332.54004MR493924
  6. [6] H. Herrlich, Topological improvements of categories of structured sets, Topology Appl.27 (1987), 145-155. Zbl0632.54008MR911688
  7. [7] H. Herrlich and L.D. Nel, Cartesian closed topological hulls, Proc. Amer. Math. Soc.62 (1977), 215-222. Zbl0361.18006MR476831
  8. [8] E. Lowen and R. Lowen, A quasitopos containing CONV and MET as full subcategories, Intern. J. Math. & Math. Sci.11 (1988), 417-438. Zbl0672.54003MR947271
  9. [9] E. Lowen and R. Lowen, Topological quasitopos hulls of categories containing topological and metric objects, Cahiers Topol. Géom. Diff. Cat.30,3 (1989), 213-228. Zbl0706.18002MR1029625
  10. [10] R. Lowen, Approach Spaces: The missing link in the Topology-Uniformity-Metric Triad, Oxford Mathematical Monographs, Oxford University Press (1997). Zbl0891.54001MR1472024
  11. [11] A. Machado, Espaces d'Antoine et pseudo-topologies, Cahiers Topol. Géom. Diff. Cat.14-3 (1973), 309-327. Zbl0276.54001MR345054
  12. [12] F. Schwarz and S. Weck-Schwarz, Internal Desciription of Hulls: A Unifying Approach, Category Theory at Work, H. Herrlich and H.-E. Porst (eds), Heldermann VerlagBerlin (1991), 35-45. Zbl0767.18006MR1147917

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