2002•Unpublished venueRequires access

Natural Dualities for the Working Algebraist

David M. Clark, Brian Davey

Abstract

1. Dual adjunctions and where to find them 2. Natural dualities 3. Strong dualities 4. Examples of strong dualities 5. Sample applications 6. What makes a duality useful? 7. Piggyback dualities 8. Optimal dualities and entailment 9. Completeness theorems for entailment 10. Dualisable algebras Appendix A. Algebras Appendix B. Boolean spaces Bibliography Notation index Index.

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Key concepts: Notation, Completeness (order theory), Dual (grammatical number), Duality (order theory), Index (typography), Mathematics, Logical consequence, Algebra over a field