Boolean topological distributive lattices and canonical extensions

Journal article

This paper presents a unified account of a number of dual category equivalences of relevance to the theory of canonical extensions of distributive lattices. Each of the categories involved is generated by an object having a two-element underlying set; additional structure may be algebraic (lattice or complete lattice operations) or relational (order) and, in either case, topology may or may not be included. Among the dualities considered is that due to B. Banaschewski between the categories o...

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Authors: Davey, B; Haviar, M; Priestley, H

• Publication status: Published
• Journal: APPLIED CATEGORICAL STRUCTURES
• Volume: 15
• Issue: 3
• Pages: 225-241
• Publication date: 2007-06-01
• DOI: 10.1007/s10485-007-9090-7
• EISSN: 1572-9095
• ISSN: 0927-2852
• Language: English
• Keywords: topological lattice; priestley duality; canonical extension; profinite completion