Skip to main content
SpringerLink
Log in

Minimal topological completion of KBan1→KVec

  • Conference paper
  • First Online:
Category Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 962))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Antoine, Ph.: Etude élémentaire des catégories d'ensembles structurés. Bull.Soc.Math.Belgique 18, 142–164 and 387–414 (1966).

    MathSciNet  MATH  Google Scholar 

  2. Banaschewski, B.: Hüllensysteme und Erweiterung von Quasi-Ordnungen. Z.Math.Logik Grundlagen Math. 2, 117–130 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  3. Banaschewski, B. and G. Bruns: Categorical characterization of the MacNeille completion. Archiv d.Math. 18, 369–377 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  4. Brümmer, G.C.L.: A categorial study of initiality in uniform topology. Ph.D. thesis, University of Cape Town, 1971.

    Google Scholar 

  5. Herrlich, H.: Initial completions. Math.Z. 150, 101–110 (1976) (also in: "Kategorienseminar" (Hagen, 1975), pp.3–25 (1976)).

    Article  MathSciNet  MATH  Google Scholar 

  6. Ho1 Hoffmann, R.-E.: Die kategorielle Auffassung der Initial-und Finaltopologie. Dissertation, Universität Bochum 1972.

    Google Scholar 

  7. Ho2 —: Topological functors and factorizations. Archiv d.Math. 26, 1–7 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  8. Ho3 —: (E,M)-universally topological functors. Habilitationsschrift, Universität Düsseldorf 1974.

    Google Scholar 

  9. Ho4 —: Topological functors admitting generalized Cauchy-completions. In: Categorical Topology. Proceedings of a Conference (Mannheim, 1975), pp.286–344. Lecture Notes in Math. 540. Berlin-Heidelberg-New York: Springer 1976.

    Chapter  Google Scholar 

  10. Ho5 —: Topological completion of faithful functors (1975; unpublished). Summary (=§o) in: "Kategorienseminar" (Hagen, 1975), pp.26–37 (1976).

    Google Scholar 

  11. Ho6 —: Note on semi-topological functors. Math.Z. 160, 69–74 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  12. Ho7 —: Note on universal topological completion. Cahiers Topologie Géom.Différentielle 20, 199–216 (1979).

    MathSciNet  MATH  Google Scholar 

  13. Isbell, J.R.: Adequate subcategories. Illinois J.Math. 4, 541–552 (1960).

    MathSciNet  MATH  Google Scholar 

  14. Manes, E.G.: A pullback theorem for triples in a lattice fibering with applications to algebra and analysis. Algebra Universalis 2, 7–17 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  15. MacLane, S.: Categories for the working mathematician. Berlin-Heidelberg-New York: Springer 1971.

    MATH  Google Scholar 

  16. MacNeille, H.: Partially ordered sets. Trans.Amer.Math.Soc. 42, 416–460 (1937).

    Article  MathSciNet  MATH  Google Scholar 

  17. Roberts, J.E.: A characterization of initial functors. J.Algebra 8, 181–193 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  18. Semadeni, Z.: Banach Spaces of Continuous Functions. Warszawa: PWN-Polish Scientific Publishers 1971.

    MATH  Google Scholar 

  19. Ulmer, F.: Properties of dense and relative adjoint functors. J.Algebra 8, 77–95 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  20. Wyler, O.: Are there topoi in topology? in: Categorical Topology. Proceedings of a Conference (Mannheim, 1975), pp.699–719. Lecture Notes in Math.540. Berlin-Heidelberg-New York: Springer 1976.

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Bremen, D-28, Bremen, Federal Republic of Germany

    Rudolf-E. Hoffmann

Authors
  1. Rudolf-E. Hoffmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Klaus Heiner Kamps Dieter Pumplün Walter Tholen

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Hoffmann, RE. (1982). Minimal topological completion of KBan1→KVec. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066891

Download citation

  • DOI: https://doi.org/10.1007/BFb0066891

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11961-6

  • Online ISBN: 978-3-540-39550-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation