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Continuous Lattices: Proceedings of the Conference on Topological and Categorical Aspects of Continuous Lattices (Workshop IV) Held at the University of Bremen, Germany, November 9-11, 1979: Lecture Notes in Mathematics, cartea 871

Editat de B. Banaschewski, R.-E. Hoffmann
en Limba Engleză Paperback – iul 1981

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Specificații

ISBN-13: 9783540108481
ISBN-10: 3540108483
Pagini: 424
Ilustrații: XII, 416 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.59 kg
Ediția:1981
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.