Priestley Spaces

DOI10.2307/2048197zbMath0699.06007OpenAlexW4231326111MaRDI QIDQ3476856

P. Venugopalan

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048197

zbMATH Keywords

Lawson topologycomplete latticesinterval topologyPriestley spacestotally order-disconnected

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Continuous lattices and posets, applications (06B35) Topological lattices (06B30)

Related Items (4)

\(s_2\)-quasialgebraic posets ⋮ Canonical extensions and discrete dualities for finitely generated varieties of lattice-based algebras ⋮ Priestley spaces, quasi-hyperalgebraic lattices and Smyth powerdomains ⋮ Two topologies on the lattice of Scott closed subsets

Cites Work

• Orders: description and roles in set theory, lattices, ordered groups, topology, theory of models and relations, combinatorics, effectiveness, social sciences. Proceedings of the Conference of Ordered Sets and their Applications, Château de la Tourette, l'Arbresle, July 5-11, 1982
• Quasicontinuous posets
• A partially ordered space which is not a Priestley space
• Generalized continuous and hypercontinuous lattices
• A generalization of completely distributive lattices
• Ordered Topological Spaces and the Representation of Distributive Lattices
• Prime Ideal Structure in Commutative Rings
• Representation of Distributive Lattices by means of ordered Stone Spaces
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