Topological Duality for Distributive Lattices

Mai Gehrke is directeur de recherches in computer science at the French National Centre for Scientific Research (CNRS) working at the department of mathematics of Université Côte d'Azur in Nice. Her main contributions are in Stone duality, canonical extensions, and applications in logic and theoretical computer science. Sam van Gool is maître de conférences at the Research Institute for Foundations of Computer Science (IRIF) at Université Paris Cité. His main contributions are in duality theory and logic in mathematics and computer science.

• Preface; 1. Order and lattices; 2. Topology and order; 3. Priestley duality; 4. Duality methods; 5. Categorical duality; 6. Omega-point duality; 7. Domain theory; 8. Automata theory; Bibliography; Notation; Index.

'This book introduces efficiently Stone-Priestley duality theory for bounded distributive lattices, thereby laying solid mathematical foundations for applications in mathematics and computer science. Readers interested in the fields of domain theory and automata theory will see the general duality theory bearing fruit and opening doors to further applications.' Jorge Almeida, Universidade do Porto