Skip to main content
Log in

Cogenerators for convex spaces

  • Published:
Applied Categorical Structures Aims and scope Submit manuscript

Abstract

We give cogenerators for the categories of convex (= finitely superconvex), finitely positively convex, and absolute convex (= finitely totally convex) spaces introduced by Pumplün and Röhrl.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Adámek, H. Herrlich, and G. E. Strecker:Abstract and Concrete Categories, Wiley, New York, 1989.

    Google Scholar 

  2. R. Börger and R. Kemper: Normed totally convex spaces,Comm. Alg. 21 (1993), 3243–3258.

    Google Scholar 

  3. D. Pumplün and H. Röhrl: Banach spaces and totally convex spaces I,Comm. Alg. 12 (1984), 953–1019.

    Google Scholar 

  4. D. Pumplün and H. Röhrl: Banach spaces and totally convex spaces II,Comm. Alg. 13 (1985), 1047–1113.

    Google Scholar 

  5. D. Pumplün: The Hahn-Banach Theorem for totally convex spaces,Dem. Math. XV III (1985), 567–588.

    Google Scholar 

  6. A. Wickenhäuser: Positively convex spaces I,Seminarberichte, Hagen 30 (1988), 119–172.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to our academic teacher Dieter Pumplün on the occasion of his sixtieth birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Börger, R., Kemper, R. Cogenerators for convex spaces. Appl Categor Struct 2, 1–11 (1994). https://doi.org/10.1007/BF00878499

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00878499

Mathematics Subject Classifications (1991)

Key words

Navigation