Priestley rings and Priestley order-compactifications

DOI10.1007/s11083-010-9180-2zbMath1231.54012OpenAlexW2167749688MaRDI QIDQ651431

Guram Bezhanishvili, Patrick J. Morandi

Publication date: 13 December 2011

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-010-9180-2

zbMATH Keywords

Boolean algebradistributive latticePriestley spaceordered topological spaceStone spaceorder-compactification

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Stone spaces (Boolean spaces) and related structures (06E15) Structure theory of Boolean algebras (06E05)

Related Items (5)

The Fell Compactification of a Poset ⋮ Order-compactifications of totally ordered spaces: Revisited ⋮ Bohr compactifications of algebras and structures ⋮ Zero-dimensional proximities and zero-dimensional compactifications ⋮ TOPOLOGICAL COMPLETENESS OF LOGICS ABOVE S4

Cites Work

• Profinite completions and canonical extensions of Heyting algebras
• Zero-dimensional proximities and zero-dimensional compactifications
• Nonstandard and standard compactifications of ordered topological spaces
• Darstellung additiver Funktionen auf Booleschen Algebren als Mengenfunktionen
• Ordered Topological Spaces and the Representation of Distributive Lattices
• 0-dimensional compactifications and Boolean rings
• Representation of Distributive Lattices by means of ordered Stone Spaces
• The Theory of Representation for Boolean Algebras
• Topological representations of distributive lattices and Brouwerian logics
• Über nulldimensionale Räume
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