scientific article

zbMath0781.46009MaRDI QIDQ4012686

Arnoud C. M. van Rooij, G. J. H. M. Buskes

Publication date: 27 September 1992

Full work available at URL: http://www.numdam.org/item?id=CM_1992__83_3_311_0

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zbMATH Keywords

axiom of choiceultrafilter theoremHahn-Banach theorem for Riesz homomorphismsKakutani representation theorem for order unit spacesLipecki-Luxemburg-Schep theorem

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Hahn-Banach theorems for MV-algebras ⋮ Whales and the universal completion

Cites Work

• Projective topological spaces
• Functional calculus on Riesz spaces
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• The Power of the Ultrafilter Theorem
• Two applications of the method of construction by ultrapowers to analysis
• Extension of Vector-Lattice Homomorphisms
• Krull Implies Zorn
• Small Riesz spaces
• Extension of Lattice Homomorphisms
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
• A remark on Sikorski's extension theorem for homomorphisms in the theory of Boolean algebras
• Extension of Boolean homomorphisms with bounding semimorphisms.
• The axiom of choice
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