A fresh perspective on canonical extensions for bounded lattices.

DOI10.1007/s10485-012-9287-2zbMath1318.08004arXiv1308.4822OpenAlexW2593646838MaRDI QIDQ395673

Miroslav Haviar, Hilary A. Priestley, Andrew P. K. Craig

Publication date: 30 January 2014

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4822

zbMATH Keywords

natural dualitycanonical extensionsbounded latticestopological representations

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Lattices and duality (06D50) Natural dualities for classes of algebras (08C20)

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Cites Work

• A topological representation theory for lattices
• Natural dualities in partnership
• Boolean topological distributive lattices and canonical extensions
• A View of Canonical Extension
• Reconciliation of approaches to the construction of canonical extensions of bounded lattices
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Bounded lattice expansions
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