1.

Record Nr.

UNISA996466603103316

Titolo

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 / / Bernhard Banaschewski, editor

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1981]

©1981

ISBN

3-540-38755-2

Edizione

[1st ed. 1981.]

Descrizione fisica

1 online resource (XII, 416 p.)

Collana

Lecture Notes in Mathematics ; ; 871

Disciplina

511.33

Soggetti

Ordered algebraic structures

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.