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Stone duality for lattices

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Abstract.

We present a new topological representation and Stone-type duality for general lattices. The dual objects of lattices are triples \( (X, \perp, Y) \), where X, Y are the filter and ideal spaces of the lattice, endowed with a natural topology, and \( \perp \) is a relation from X to Y.

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Authors and Affiliations

  1. Department of Computer Science, University of Sussex, Falmer, Brighton BN1 9QH, UK, , , , , , GB

    C. Hartonas

  2. Department of Philosophy, Indiana University, Bloomington, IN 47405, U.S.A., , , , , , US

    J.M. Dunn

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  1. C. Hartonas
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  2. J.M. Dunn
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Received September 27, 1995; accepted in final form January 22, 1997.

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Hartonas, C., Dunn, J. Stone duality for lattices . Algebra univers. 37, 391–401 (1997). https://doi.org/10.1007/s000120050024

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  • DOI: https://doi.org/10.1007/s000120050024

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