Skip to main content

Convenient topological algebra and reflexive objects

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 719))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Binz, H.P. Butzmann and K. Kutzler, Über den c-Dual eines topologische Vektorräumes, Math. Z. 127 (1972) 70–74.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Beattie, On the mackey convergence structure, (preprint).

    Google Scholar 

  3. B. Banaschewski and H. Herrlich, Subcategories defined by implications, Houston J. of Math. 2 (1976) 149–171.

    MathSciNet  MATH  Google Scholar 

  4. E. Binz, Continuous convergence on C(X), Springer Lecture Notes in Math. 469 (1975).-1[Bi76] E. Binz, Charaktergruppe von Gruppen von S1-wertigen stetigen Funktionen, Categorical Topology (Proceedings of Conference at Mannheim, July 1975), Springer Lecture Notes in Math. 540 (1976) 43–91.

    Google Scholar 

  5. B. Banaschewski and E. Nelson, Tensor produts and Bimorphisms, Canad. Math. Bull. 19 (1976) 385–401.

    Article  MathSciNet  MATH  Google Scholar 

  6. H.-P. Butzmann, Über die c-Reflexivität von CC(X), Comm. Math. Helv. 49 (1972) 92–101.

    Article  MathSciNet  MATH  Google Scholar 

  7. H.-P. Butzmann, Pontrjagin-Dualität für topologische Vektorraume, Arch. Math. 28 (1977) 632–637.

    Article  MathSciNet  MATH  Google Scholar 

  8. B. Day, On Pontryagin duality, Glasgow Math. J. (to appear).

    Google Scholar 

  9. B. Day, Note on duality in Kelleyspace products, Bull. Austral. Math. Soc. 19 (1978) 273–275.

    Article  MathSciNet  MATH  Google Scholar 

  10. B. Day, On topological modules and duality (preprint)

    Google Scholar 

  11. B. Day, Note on duality in a closed category (preprint).

    Google Scholar 

  12. N. Dunford and J.T. Schwartz, Linear Operators Part I, Interscience, New York (1958).

    MATH  Google Scholar 

  13. E. Dubuc, Kan Extensions, in Enriched Category Theory, Springer Lecture notes in Math. 145 (1970).

    Google Scholar 

  14. H.R. Fischer, Limesräume, Math. Ann. 137 (1959) 269–303.

    Article  MathSciNet  MATH  Google Scholar 

  15. A. Frölicher and H. Jarchow, Zur Dualitäts theorie Kompakt erzeugter und lokalkonvexer Vektorräume, Comm. Math. Helv. 47 (1972) 289–310.

    Article  MATH  Google Scholar 

  16. H. Herrlich, Regular categories and regular functors, Canad. J. Math. 26 (1974) 709–720.

    Article  MathSciNet  MATH  Google Scholar 

  17. H. Herrlich, Cartesian closed topological categories Math. Colloq. Univ. Cape Town 9 (1974) 1–16.

    MathSciNet  MATH  Google Scholar 

  18. H. Hogbe-Nlend, Theorie des Bornologie et applications, Springer Lecture Notes Math. 213 (1971).

    Google Scholar 

  19. H. Hogbe-Nlend, Bornologies and Functional Analysis, North Holland, Amsterdam (1977).

    MATH  Google Scholar 

  20. K.H. Hofmann, M. Mislove and A. Stralka, The Pontryagin Duality of Compact O-dimensional Semilattices and its applications, Springer Lecture Notes in Math. 396 (1974).

    Google Scholar 

  21. H. Herrlich and L.D. Nel, Cartesian closed topological hulls, Proc. Amer. Math. Soc. 62 (1977) 215–222.

    Article  MathSciNet  MATH  Google Scholar 

  22. S.S. Hong and L.D. Nel, Reflexive topological semilattices and duality (preprint).

    Google Scholar 

  23. H. Herrlich and G.E. Strecker, Category Theory, Allyn and Bacon, Boston (1973).

    MATH  Google Scholar 

  24. S. Kaplan, Extensions of the Pontryjagin duality I: Infinite products, Duke Math. J. 15 (1948), 649–658.

    Article  MathSciNet  MATH  Google Scholar 

  25. S. Kaplan, Extensions of the Pontrjagin dualtiy II: Direct and inverse sequences, Duke Math. J. 17 (1950) 419–435.

    Article  MathSciNet  MATH  Google Scholar 

  26. F.E.J. Linton, Autonomous Equational Categories, Journal of Mathematics and Mechanics 15 (1966) 637–642.

    MathSciNet  MATH  Google Scholar 

  27. W.F. Lamartin, Pontryagin duality for products and coproducts of abelian k-groups, Rocky Mountain J. Math. 7 (1977) 725–731.

    Article  MathSciNet  MATH  Google Scholar 

  28. L.D. Nel, Cartesian closed topological categories, Categorical Topology (Proceedings of Conference at Mannheim, July 1975) Springer Lecture Notes in Math. 540 (1976) 439–451.

    Google Scholar 

  29. L.D. Nel, Cartesian closed coreflective hulls, Questiones Math. 2 (1977) 269–283.

    Article  MathSciNet  MATH  Google Scholar 

  30. R. Venkataraman, Extensions of Pontryagin Duality, Math. Z. 143 (1975) 105–112.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Horst Herrlich Gerhard Preuß

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Nel, L.D. (1979). Convenient topological algebra and reflexive objects. In: Herrlich, H., Preuß, G. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065279

Download citation

  • DOI: https://doi.org/10.1007/BFb0065279

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09503-3

  • Online ISBN: 978-3-540-35193-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics