On *-autonomous categories of topological vector spaces

Michael Barr

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2000)

  • Volume: 41, Issue: 4, page 243-254
  • ISSN: 1245-530X

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Barr, Michael. "On *-autonomous categories of topological vector spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 41.4 (2000): 243-254. <http://eudml.org/doc/91636>.

@article{Barr2000,
author = {Barr, Michael},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {category of separated and extensional pairs; category of locally convex topological vector spaces; Mackey topology; -autonomous categories; dual pairings; dualities; Mackey-Arens theorem; finest compatible topology},
language = {eng},
number = {4},
pages = {243-254},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On *-autonomous categories of topological vector spaces},
url = {http://eudml.org/doc/91636},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Barr, Michael
TI - On *-autonomous categories of topological vector spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2000
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 41
IS - 4
SP - 243
EP - 254
LA - eng
KW - category of separated and extensional pairs; category of locally convex topological vector spaces; Mackey topology; -autonomous categories; dual pairings; dualities; Mackey-Arens theorem; finest compatible topology
UR - http://eudml.org/doc/91636
ER -

References

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  1. M. Barr (1976a), Duality of vector spaces. Cahiers de Topologie et Géométrie Différentielle, 17, 3-14. Zbl0333.46048MR425568
  2. M. Barr (1976b), Closed categories and topological vector spaces. Cahiers de Topologie et Géométrie Différentielle, 17, 223-234. Zbl0336.46060MR430018
  3. M. Barr (1979), *-Autonomous categories. Lecture Notes in Mathematics752, Springer-Verlag, Berlin, Heidelberg, New York. Zbl0415.18008MR550878
  4. M. Barr (1999), *-Autonomous categories: once more around the track. Theory and Applications of Categories, 6, (1999), 5-24. Zbl0944.18008MR1732459
  5. M. Barr and H. Kleisli, Topological balls. Cahiers de Topologie et Géométrie Différentielle Catégorique, 40 (1999), 3-20. Zbl0922.18004MR1682579
  6. P.-H. Chu (1979), Constructing *-autonomous categories. Appendix to [Barr, 1979], 103-137. MR550878
  7. G. Mackey (1945), On infinite dimensional vector spaces. Trans. Amer. Math. Soc.57, 1945, 155-207. Zbl0061.24301MR12204

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