A categorical proof of the equivalence of local compactness and exponentiability in locale theory

Christopher F. Townsend

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2006)

  • Volume: 47, Issue: 3, page 233-239
  • ISSN: 1245-530X

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Townsend, Christopher F.. "A categorical proof of the equivalence of local compactness and exponentiability in locale theory." Cahiers de Topologie et Géométrie Différentielle Catégoriques 47.3 (2006): 233-239. <http://eudml.org/doc/91708>.

@article{Townsend2006,
author = {Townsend, Christopher F.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {locale; local compactness; exponentiability},
language = {eng},
number = {3},
pages = {233-239},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A categorical proof of the equivalence of local compactness and exponentiability in locale theory},
url = {http://eudml.org/doc/91708},
volume = {47},
year = {2006},
}

TY - JOUR
AU - Townsend, Christopher F.
TI - A categorical proof of the equivalence of local compactness and exponentiability in locale theory
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2006
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 47
IS - 3
SP - 233
EP - 239
LA - eng
KW - locale; local compactness; exponentiability
UR - http://eudml.org/doc/91708
ER -

References

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  1. [1] Hyland, J.M.E.Function space in the category of locales. In "Continuous lattices", Lecture Notes in Math. vol. 871 (Springer-Verlag, 1981), 264-281. Zbl0483.54005
  2. [2] Johnstone, P.T.Stone Spaces. Cambridge Studies in Advanced Mathematics 3. Cambridge University Press, 1982. Zbl0499.54001MR698074
  3. [3] Johnstone, P.T.Sketches of an elephant: A topos theory compendium. Vols 1, 2, Oxford Logic Guides43, 44,Oxford Science Publications, 2002. Zbl1071.18001MR1953060
  4. [4] Townsend, C.F. and Vickers, S.J.A Universal Characterization of the Double Power Locale. Theo.Comp. Sci.316 (2004), 297-321. Zbl1047.06006MR2074935

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