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

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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

edited by B. Banaschewski and R.-E. Hoffmann

（Lecture notes in mathematics, 871）

Springer-Verlag, 1981

  • : Berlin
  • : New York

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Includes bibliographies and index

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Table of 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.

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