Skip to main content
SpringerLink
Log in

The Order Topology on a Lattice and Its MacNeille Completion

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

An example shows that the order topology on a lattice can be strictly strongerthan the order topology inherited from its MacNeille completion

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

Similar content being viewed by others

REFERENCES

  • Birkhoff, G. (1973), Lattice Theory, 3rd ed., American Mathematical Society, Providence, Rhode Island.

    Google Scholar 

  • Erné, M. (1980), Order-topological lattices, Glasgow Math. J. 21, 57-68.

    Google Scholar 

  • Kirchheimová, H. (1990), Some remarks on (o)-convergence, in Proceedings of the First Winter School of Measure Theory in Liptovsky´ Ja´n, pp. 110-113.

  • Rie?anová, Z. (1993), Topological and order-topological orthomodular lattices, Bull. Aust. Math. Soc. 17, 509-518.

    Google Scholar 

  • Rie?anová, Z. (1998). Strongly compactly atomistic orthomodular lattices and modular ortholattices, Tatra Mt. Math. Publ. 15, 143-153.

    Google Scholar 

  • Olej?ek, V. Order convergence and order topology on a poset, Int. J. Theor. Phys., 38, 552-562.

Download references

Author information

Authors and Affiliations

  1. Departement of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, SK-81219, Bratislava, Slovakia

    Vladimír Olejček

Authors
  1. Vladimír Olejček
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Olejček, V. The Order Topology on a Lattice and Its MacNeille Completion. International Journal of Theoretical Physics 39, 801–803 (2000). https://doi.org/10.1023/A:1003670711901

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1003670711901

Keywords

Search

Navigation