The category of Banach spaces in sheaves

Joan Wick Pelletier; Robert D. Rosebrugh

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 4, page 353-372
  • ISSN: 1245-530X

How to cite

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Pelletier, Joan Wick, and Rosebrugh, Robert D.. "The category of Banach spaces in sheaves." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.4 (1979): 353-372. <http://eudml.org/doc/91221>.

@article{Pelletier1979,
author = {Pelletier, Joan Wick, Rosebrugh, Robert D.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {topos of sheaves; category of Banach fibre spaces; category of Banach sheaves; Dedekind-MacNeille real numbers; pullback diagram},
language = {eng},
number = {4},
pages = {353-372},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The category of Banach spaces in sheaves},
url = {http://eudml.org/doc/91221},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Pelletier, Joan Wick
AU - Rosebrugh, Robert D.
TI - The category of Banach spaces in sheaves
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 4
SP - 353
EP - 372
LA - eng
KW - topos of sheaves; category of Banach fibre spaces; category of Banach sheaves; Dedekind-MacNeille real numbers; pullback diagram
UR - http://eudml.org/doc/91221
ER -

References

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  1. 1 N. Auspitz, Q-Sheaves of Banach spaces, Dissertation, Univ. of Waterloo, 1975. 
  2. 2 B. Banaschewski, Sheaves of Banach spaces, Quaest. Math.1 (1977), 1- 22. Zbl0435.46051MR491892
  3. 3 C. Burden, The Hahn-Banach Theorem in a category of sheaves, J. Pure and Applied Algebra, to appear. Zbl0438.46051MR560783
  4. 4 C. Burden, Normed and Banach spaces in categories of sheaves, Dissertation Un iv. of Sussex1978. 
  5. 5 K.H. Hofmann, Bundles o f Banach spaces, Sheaves of Banach spaces, C(B)-modules, Lectures at the TH Darmstadt, 1974. 
  6. 6 K.H. Hofmann, Sheaves and bundles o f Banach spaces, Preprint, 1976. 
  7. 7 P.T. Johnstone, Topos Theory, Academic Press, 1977. Zbl0368.18001MR470019
  8. 8 P.T. Johnstone, Conditions related to De Morgan's law, Preprint, 1977. 
  9. 9 F.E.J. Linton, On a pullback Lemma for Banach spaces and the functorial semantics of double dualization, Preprint with addendum, 1970. 
  10. 10 C.J. Mulvey, Intuitionistic Algebra and representation of rings, Memoirs A. M. S.148 (1974). Zbl0274.18012
  11. 11 C.J. Mulvey, Banach sheaves, J. Pure and Applied Algebra, to appear. Zbl0475.18007MR560785
  12. 12 R. Pare & D. Schumacher, Abstract families and the adjoint functor Theorems, Lecture Notes in Math.661, Springer (1978). Zbl0389.18002MR514193
  13. 13 J. Wick Pelletier, Examples of localizations, Comm. in Alg.3 (1975), 81-93. Zbl0307.18004MR376803

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