Continuous posets and adjoint sequences

DOI10.1007/BF02574184zbMath0427.06003MaRDI QIDQ1136787

Rudolf-E. Hoffmann

Publication date: 1979

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134350

zbMATH Keywords

Scott topologycontinuous posetscontinuous latticescategory of posetsadjoint functionsadjoint sequence

Mathematics Subject Classification ID

Preorders, orders, domains and lattices (viewed as categories) (18B35) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Constructive complete distributivity. IV ⋮ Scott convergence and fuzzy Scott topology on \(L\)-posets ⋮ Characterizations of supercontinuous posets via Scott \(S\)-sets and the \(S\)-essential topology ⋮ Constructive complete distributivity. I ⋮ \(Z\)-mappings and a classification theorem ⋮ Note on free algebras over continuous domains ⋮ Sequences of adjoints for Ens-valued functors ⋮ Characterizations of various continuities of posets via approximated elements ⋮ Quasi-Atoms and Complete Distributivity ⋮ The category of Z-continuous posets ⋮ Posets isomorphic to their extensions

Cites Work

• Sobrification of partially ordered sets
• Sequences of adjoint functors
• Function spaces and adjoints.
• Simplicial methods and the interpretation of “triple” cohomology
• Darstellungen und Erweiterungen geordneter Mengen. I.
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