Ordered Sets and Duality for Distributive Lattices

Journal article

An account is given of the categorical duality which exists between bounded distributive lattices and compact totally order disconnected spaces. During the past decade, a wide range of structural problems concerning distributive lattices have been solved by the topological and order theoretic techniques provided by duality, and a representative selection of these is presented. In addition, certain related dualities are briefly considered, as are compact totally order disconnected spaces in their own right. The paper ends with a 'dictionary' of mutually dual properties. © 1984.

Authors: Priestley, H

• Journal: North-Holland Mathematics Studies
• Volume: 99
• Issue: C
• Pages: 39-60
• Publication date: 1984-01-01
• DOI: 10.1016/S0304-0208(08)73814-3
• ISSN: 0304-0208
• Language: English