Continuous Lattices: Proceedings of the Conference on Topological and Categorical Aspects of Continuous Lattices (Workshop IV) Held at the University ... (Lecture Notes in Mathematics, 871, Band 871) - Softcover

Softcover

ISBN 10: 3540108483 ISBN 13: 9783540108481

Verlag: Springer, 2009

Inhaltsangabe

Coherent frames.- The duality of distributive ?-continuous lattices.- Verfeinerungs- und Kürzungssätze für Produkte geordneter topologischer Räume und für Funktionen (-halb-) verbände.- A completion - invariant extension of the concept of continuous lattices.- Scott convergence and scott topology in partially ordered sets II.- Continuous ideal completions and compactifications.- Projective sober spaces.- Continuous posets, prime spectra of completely distributive complete lattices, and Hausdorff compactifications.- Local compactness and continuous lattices.- The spectrum as a functor.- Function spaces in the category of locales.- Scott is not always sober.- Injective toposes.- A motivation and generalization of scott's notion of a continuous lattice.- Propaedeutic to chain-complete posets with basis.- Z-Continuous algebras.- "Continuity" properties in lattices of topological structures.- Fundamental congruences on Lawson semilattices.- Wadge reducibility and Hausdorff difference hierarchy in P?.- Scott convergence and Scott topology in partially ordered sets I.- Dedekind complete posets and scott topologies.- Algebraic theories of continuous lattices.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 3540108483
• ISBN 13: 9783540108481
• Einband: Taschenbuch
• Anzahl der Seiten: 424
• Herausgeber: Banaschewski B.
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland