Topological balls

Michael Barr; Heinrich Kleisli

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1999)

  • Volume: 40, Issue: 1, page 3-20
  • ISSN: 1245-530X

How to cite

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Barr, Michael, and Kleisli, Heinrich. "Topological balls." Cahiers de Topologie et Géométrie Différentielle Catégoriques 40.1 (1999): 3-20. <http://eudml.org/doc/91614>.

@article{Barr1999,
author = {Barr, Michael, Kleisli, Heinrich},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Chu-construction; -autonomous category; Banach space; lower semi-continuous norm; Mackey topology},
language = {eng},
number = {1},
pages = {3-20},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Topological balls},
url = {http://eudml.org/doc/91614},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Barr, Michael
AU - Kleisli, Heinrich
TI - Topological balls
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1999
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 40
IS - 1
SP - 3
EP - 20
LA - eng
KW - Chu-construction; -autonomous category; Banach space; lower semi-continuous norm; Mackey topology
UR - http://eudml.org/doc/91614
ER -

References

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  1. M. Barr (1976), Closed categories and Banach spaces. Cahiers deTopologie et Géométrie Différentielle, 17, 335-342. Zbl0344.46132MR448118
  2. M. Barr (1979), *-Autonomous Categories. Lecture Notes in Mathematics752, Springer-Verlag, Berlin, Heidelberg, New York. Zbl0415.18008MR550878
  3. M. Barr (1990), Accessible categories and models of linear logic. J. Pure AppliedAlgebra, 69, 219-232. Zbl0719.18004MR1090742
  4. M. Barr (1991), *-Autonomous categories and linear logic. Mathematical StructuresComputer Science, 1, 159-178. Zbl0777.18006MR1132146
  5. M. Barr (1996), *-Autonomous categories, revisited. Journal of Pure and Applied Algebra, 111, 1-20. Zbl0857.18010MR1394341
  6. M. Barr (1998), The separated extensional Chu category. Theory and Applications of Categories, 4.6. Zbl0907.18003MR1651409
  7. M. Barr (forthcoming), *-Autonomous categories: once more around the track. Zbl0944.18008MR1732459
  8. N. Bourbaki (1953), Éléments de mathématiques, Espaces vectoriels topologiques, Livre V, Chap. II. Zbl0050.10703
  9. P.-H. Chu (1979), Constructing *-autonomous categories. Appendix to [Barr, 1979]. MR550878
  10. J.B. Cooper (1987), Saks Spaces and Applications to Functional Analysis, 2nd edition. North-Holland, Amsterdam. Zbl0618.46003MR886477
  11. S. Dorofeev, H. Kleisli (1995), Functorial Methods in the Theory of Group Representation I. Applied Categorical Structures, 3, 151-172. Zbl0822.18003MR1329189
  12. H. Kleisli, H.P. Künzi (1995), Topological totally convex spaces, II. Cahiers de Topologie et Géométrie Différentielle Catégorique, 36, 11-52. Zbl0822.18002MR1322800
  13. H. Kleisli, H.P. Künzi, J. Rosičký (1996), A topological Banach space model of linear logic. Proceedings of the Workshop on Categorical Topology, L'Aquila, 155-162. Zbl0891.46046MR1412582
  14. E. Schläpfer, On group algebras, Chu spaces and induced representations of topological Hausdorff groups. Doctoral thesis, Faculty of Science, Université de Fribourg, 1998. 
  15. H.H. Schaeffer, Topological Vector Spaces, third printing corrected. Springer-Verlag, 1971. Zbl0217.16002MR342978

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