Skip to main content
SpringerLink
Log in

Functorial Duality for Ortholattices and De Morgan Lattices

  • Published:
Logica Universalis Aims and scope Submit manuscript

Abstract.

Relational semantics for nonclassical logics lead straightforwardly to topological representation theorems of their algebras. Ortholattices and De Morgan lattices are reducts of the algebras of various nonclassical logics. We define three new classes of topological spaces so that the lattice categories and the corresponding categories of topological spaces turn out to be dually isomorphic. A key feature of all these topological spaces is that they are ordered relational or ordered product topologies.

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

Author information

Authors and Affiliations

  1. School of Informatics, Indiana University, Bloomington, IN, 47408, USA

    Katalin Bimbó

Authors
  1. Katalin Bimbó
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Katalin Bimbó.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bimbó, K. Functorial Duality for Ortholattices and De Morgan Lattices. Log. univers. 1, 311–333 (2007). https://doi.org/10.1007/s11787-007-0016-9

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11787-007-0016-9

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation