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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

Author: Bernhard Banaschewski; R -E Hoffmann
Publisher: Berlin ; New York : Springer-Verlag, 1981.
Series: Lecture notes in mathematics (Springer-Verlag), 871.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
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Genre/Form: Kongress
Kongreß
Additional Physical Format: Online version:
Conference on Topological and Categorical Aspects of Continuous Lattices (4th : 1979 : University of Bremen).
Continuous lattices.
Berlin ; New York : Springer-Verlag, 1981
(OCoLC)654267756
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Bernhard Banaschewski; R -E Hoffmann
ISBN: 0387108483 9780387108483 3540108483 9783540108481
OCLC Number: 7614600
Description: x, 413 pages : illustrations ; 25 cm.
Contents: Coherent frames.- The duality of distributive ?-continuous lattices.- Verfeinerungs- und Kurzungssatze fur Produkte geordneter topologischer Raume und fur Funktionen (-halb-) verbande.- 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 871.
Responsibility: edited by B. Banaschewski and R.-E. Hoffmann.

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