Nonstandard and standard compactifications of ordered topological spaces

DOI10.1016/0166-8641(92)90113-EzbMath0766.54032MaRDI QIDQ1207240

Sergio Salbany, Todor D. Todorov

Publication date: 1 April 1993

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

maximal idealsnonstandard extensionČech-Stone compactificationpartial orderingclosed graphHewitt realcompactificationnonstandard techniquessaturation principleNachbin ordered compactificationnonstandard ordered hullordered realcompact space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60) Nonstandard models in mathematics (03H05) Nonstandard topology (54J05)

Related Items (6)

Hausdorff completions of quasi-uniform spaces ⋮ Nonstandard methods of completing quasi-uniform spaces ⋮ A nonstandard approach to realcompactness with applications to the equation \(v(X \times Y) = v(X) \times v(Y)\) ⋮ Unnamed Item ⋮ Priestley rings and Priestley order-compactifications ⋮ Monads and realcompactness

Cites Work

• Extensions of completely regular ordered spaces
• C-complete quasi-uniform spaces
• Topologische Reflexionen und Coreflexionen
• Non-standard characterisations of ideals in $C(X)$.
• On Compact ∗ Spaces and Compactifications
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