Rudolf E. Hoffmann

Continuous Lattices and Their Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 392
• Erscheinungstermin: 17. Dezember 2020
• Englisch
• ISBN-13: 9781000111088
• Artikelnr.: 60736293

Autorenporträt

Rudolf E. Hoffmann (Author)

Inhaltsangabe

1. On the Topologies of Injective Spaces 2. Convergence and Continuity in
Partially Ordered Sets and Semilattices 3. Natural Topologies, Essential
Extensions, Reductive Lattices, and Congruence Extension 4. The Fell
Compactification Revisited 5. The trace of the Weak Topology and of the
¿-Topology of Lop coincide on the Pseudo-Meet-Prime Elements of a
Continuous Lattice L 6. Complete Distributivity and the Essential 7. Free
Objects in the Category of Completely Distributive Lattices 8.
Discontinuity of Meets and Joins 9. Vietoris Locales and Localic
Semilattices 10. On the Exponential Law for Function Spaces Equipped with
the Compact-Open Topology 11. The (Strong) Isbeil Topology and (Weakly)
continuous Lattices 12. Obtaining the T0-Essential Hull 13. The Local
Approach to Programming Language Theory 14. Algebraic Lattices as Dual
Spaces of Distributive Lattices 15. Scott Topology, Isbeil Topology, and
Continuous Convergence 16. Projectiveness with Regard to a Right Adjoint
Functor 17. Lattices and Semilattices: A Convex Point of View