The duality between lattice-ordered monoids and ordered topological spaces

DOI10.1007/BF02573322zbMath0599.54041MaRDI QIDQ1080225

Sung Sa Hong, Tae Ho Choe

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/134679

zbMATH Keywords

(zero-dimensionally) realcompact ordered spacechain complete orderDedekind complete orderdiscrete orderlattice-ordered convergence monoid

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Categorical methods in general topology (54B30) Realcompactness and realcompactification (54D60) Ordered semigroups and monoids (06F05) Ordered topological structures (06F30)

Related Items (1)

A dual adjointness on partially ordered topological spaces

Cites Work

• Limesräume
• Continuous convergence on C(X)
• Every topological category is convenient for Gelfand duality
• Multiplicative semigroups of continuous functions
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Applications of the Theory of Boolean Rings to General Topology
• Lattices of continuous functions
• Rings of Real-Valued Continuous Functions. I
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