Skip to main content
SpringerLink
Log in

Intrinsic topologies on semilattices of finite breadth

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Frink, O.: Topology in lattices, Trans. Amer. Math. Soc. 51 (1942), 568–582.

    Article  MathSciNet  Google Scholar 

  2. —: Ideals in partially ordered sets, Amer. Math. Monthly 6 (1954), 223–234.

    Article  MathSciNet  Google Scholar 

  3. Gierz, G., K.H. Hofmann, K. Keimel, J.D. Lawson, M. Mislove, D.S. Scott: A Compendium of Continuous Lattices, Springer Verlag, Heidelberg (1980)

    MATH  Google Scholar 

  4. Gierz, G. and A. R. Stralka: Distributive lattices with sufficiently many chain intervals, Algebra Universalis, to appear.

  5. Gierz, G. and A. R. Stralka: The Zariski topology for distributive lattices, submitted for publication.

  6. Liukkonen, J.R. and M. Mislove: Measure algebras of locally compact semilattices, Lecture Notes in Mathematics 988 (1983), p. 202–214.

    Article  MathSciNet  Google Scholar 

  7. Mislove, M.: Order scattered distributive continuous lattices are topological scattered, Houston Journal of Mathematics, to appear

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 92521, Riverside, Ca

    G. Gierz & A. R. Stralka

  2. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, La

    J. D. Lawson

Authors
  1. G. Gierz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. D. Lawson
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. R. Stralka
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Michael Mislove

This author gratefully acknowledges the support of NSF Grant MCS-7900295

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gierz, G., Lawson, J.D. & Stralka, A.R. Intrinsic topologies on semilattices of finite breadth. Semigroup Forum 31, 1–17 (1985). https://doi.org/10.1007/BF02572635

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02572635

Keywords

Search

Navigation