On topological modules and duality

Brian J. Day

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 3, page 297-310
  • ISSN: 1245-530X

How to cite

top

Day, Brian J.. "On topological modules and duality." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.3 (1979): 297-310. <http://eudml.org/doc/91218>.

@article{Day1979,
author = {Day, Brian J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {duality; topological ring; topological module; categories of limitspaces; Choquet pseudotopologies; strong projective limits},
language = {eng},
number = {3},
pages = {297-310},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On topological modules and duality},
url = {http://eudml.org/doc/91218},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Day, Brian J.
TI - On topological modules and duality
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 3
SP - 297
EP - 310
LA - eng
KW - duality; topological ring; topological module; categories of limitspaces; Choquet pseudotopologies; strong projective limits
UR - http://eudml.org/doc/91218
ER -

References

top
  1. 1 M. Barr, Duality of vector spaces, Cahiers Topo. et Géom. Diff.XVII- 1 (1976), 3-14. Zbl0333.46048MR425568
  2. 2 E. Binz, Continuous convergence on C(X), Lecture Notes in Math.469, Springer (1975). Zbl0306.54003MR461418
  3. 3 E. Binz, Charactergruppen von Gruppen von S1-wertigen stetigen Funktionen, in Categorical Topo. Mannheim 75, Lecture Notes in Math.540 (1976), 43-92. Zbl0338.54011MR440494
  4. 4 E. Binz& H.H. Keller, Funktionenräume in der Kategorie der Limesräume, Ann. Acad. Sci. Fenn. Ser.A1, 383 (1966), 1- 21. Zbl0158.19903MR206890
  5. 5 F. Borceux & B.J. Day, Universal algebra in a closed category, J. Pure and Appl. Algebra ( to appear in 1979). Zbl0426.18004
  6. 6 B.J. Day, A reflection theorem for closed categories, J. Pure and Appl. Algebra2 (1972), 1-11. Zbl0236.18004MR296126
  7. 7 B.J. Day, On Pontryagin duality, Glascow Math. J.20 (1979), 15-24. Zbl0399.18006MR523783
  8. 8 B.J. Day, An extension of Pontryagin duality, Bull. Australian Math. Society ( to appear 1979). Zbl0395.18002MR523783
  9. 9 S. Kaplan, Extensions of the Pontryagin duality, II: Direct and inverse sequences, Duke Math. J.17 (1950), 419- 435. Zbl0041.36101MR49906
  10. 10 G.M. Kelly, Monomorphisms, epimorphisms and pullbacks, J. Australian Math. Soc.9 (1969), 124-142. Zbl0169.32604MR240161
  11. 11 S. Mac Lane, Categories for the working mathematician, Graduate Texts in Math.5, Springer, 1971. Zbl0232.18001MR1712872
  12. 12 K.O. Stöhr, Dualitäten in der Kategorie der lokal komp acten Moduln über einem Dedekindshen Ring, J. für die reine und angew. Math.239 / 240 (1969), 239-255. Zbl0185.10002MR262223

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.