The dual locale of a seminormed space

C. J. Mulvey; J. Wick-Pelletier

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982)

  • Volume: 23, Issue: 1, page 73-92
  • ISSN: 1245-530X

How to cite

top

Mulvey, C. J., and Wick-Pelletier, J.. "The dual locale of a seminormed space." Cahiers de Topologie et Géométrie Différentielle Catégoriques 23.1 (1982): 73-92. <http://eudml.org/doc/91291>.

@article{Mulvey1982,
author = {Mulvey, C. J., Wick-Pelletier, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {internal normed spaces in a topos; Hahn-Banach theorem; Alaoglu's theorem; locale; spatial topos; Grothendieck topos},
language = {eng},
number = {1},
pages = {73-92},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The dual locale of a seminormed space},
url = {http://eudml.org/doc/91291},
volume = {23},
year = {1982},
}

TY - JOUR
AU - Mulvey, C. J.
AU - Wick-Pelletier, J.
TI - The dual locale of a seminormed space
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1982
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 23
IS - 1
SP - 73
EP - 92
LA - eng
KW - internal normed spaces in a topos; Hahn-Banach theorem; Alaoglu's theorem; locale; spatial topos; Grothendieck topos
UR - http://eudml.org/doc/91291
ER -

References

top
  1. 1 Banaschewski, B., Injective Banach sheaves, Lecture Notes in Math.753, Springer (1979), 101-112. Zbl0435.46052MR555541
  2. 2 B Anaschewski, B. & Mulvey, C.J., Stone-Čech compactification of locale s I, Houston J. Math. (to appear). Zbl0473.54026
  3. 3 Banaschewski, B. & Mulvey, C.J., Stone-Čech compactification of locale s II, to appear. Zbl0549.54017
  4. 4 Burden, C.W., Normed and Banach spaces in categories of sheaves, D. Phil. Thesis, Univ. of Sussex, 1978. 
  5. 5 Burden, C.W., The Hahn-Banach Theorem in a category of sheaves, J. Pure & Applied Algebra17 (1980), 25 - 34. Zbl0438.46051MR560783
  6. 6 Burden, C.W. & Mulvey, C.J., Banach spaces in categories of sheaves, L ecture Notes in Math.753, Springer (1979), 169 - 196. Zbl0432.46066MR555545
  7. 7 Johnstone, P.T., Topos Theory, L.M.S. Math. Mon.10, Acad. Press, 1977. Zbl0368.18001MR470019
  8. 8 Johnstone, P.T., Conditions relating to De Morgan's law, Lecture Notes in Math.753, Springer (1979), 479-491. Zbl0445.03041MR555556
  9. 9 Johnstone, P.T., Th e Gleason cove r of a topo s, I, To appear. Zbl0445.18004MR508665
  10. 10 Joyal, A., Théorie des topos et le théorème de Barr, Tagungs bericht of Oberwolfach Category Meeting, 1977. 
  11. 11 Mulvey, C.J., Intuitionistic algebra and representations of rings, Mem. Amer. Math. Soc.148 (1974), 3-57. Zbl0274.18012MR398799
  12. 12 Mulvey, C.J., Banach sheaves, J. Pure & AppliedAlgebra17 (1980),69-83. Zbl0475.18007MR560785
  13. 13 Pelletier, J.W., & Rosebrugh, R.D., The category of Banach spacesin sheaves, Cahiers Topo. et Géom. Diff.XX(1979), 353-371. Zbl0432.18005MR558104
  14. 14 Rudin, W., Functional Analysis, McGraw-Hill, New York, 1973. Zbl0253.46001MR365062
  15. 15 Wraith, G.C., Intuitionistic algebra: some recent developments in topos theory, Proc. of the International Congress, Helsinki, 1978, 331-337. Zbl0429.03049MR562624

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.