Skip to main content
SpringerLink
Log in

Scott convergence and Scott topology in partially ordered sets I

  • Conference paper
  • First Online:
Continuous Lattices

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 871))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. Erné,M., A completion-invariant extension of the concept of continuous lattices. These proceedings.

    Google Scholar 

  2. —, Scott convergence and Scott topology in partially ordered sets II. These proceedings.

    Google Scholar 

  3. —, Topologies on products of partially ordered sets II: ideal topologies. Algebra Universalis (to appear).

    Google Scholar 

  4. Erné,M. and Weck,S., Order convergence in lattices. Rocky Mountain J. Math. (to appear).

    Google Scholar 

  5. Frink, O., Ideals in partially ordered sets. Amer. Math. Monthly 61 (1954), 223–234.

    Article  MathSciNet  MATH  Google Scholar 

  6. Kent, D.C., Convergence functions and their related topologies. Fundamenta Mathematicae 54 (1964), 125–133.

    MathSciNet  MATH  Google Scholar 

  7. —, On the order topology in a lattice. Illinois J. Math. 10 (1966), 90–96.

    MathSciNet  MATH  Google Scholar 

  8. Gierz,G., Lawson,J.D., Hofmann,K.H., Mislove,M., Keimel,K., and Scott,D.S., A compendium of continuous lattices. Springer-Verlag, Berlin-Heidelberg-New York (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Hannover, D 3000, Hannover, Fed. Rep. of Germany

    Sibylle Weck

Authors
  1. Sibylle Weck
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Bernhard Banaschewski Rudolf-Eberhard Hoffmann

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Weck, S. (1981). Scott convergence and Scott topology in partially ordered sets I. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089919

Download citation

  • DOI: https://doi.org/10.1007/BFb0089919

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10848-1

  • Online ISBN: 978-3-540-38755-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation