Order embeddings with irrational codomain: Debreu properties of real subsets

DOI10.1007/s11083-006-9052-yzbMath1119.54022OpenAlexW2025638781MaRDI QIDQ878151

Esteban Induráin, Juan Carlos Candeal, María Jesús Campión, Ghanshyam B. Mehta

Publication date: 26 April 2007

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-006-9052-y

zbMATH Keywords

irrational numberstotal preorders

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05)

Related Items (5)

Open Questions in Utility Theory ⋮ Functional equations related to fuzzy sets and representable orderings1 ⋮ Debreu-like properties of utility representations ⋮ Numerical representability of ordered topological spaces with compatible algebraic structure ⋮ Pointwise Debreu lexicographic powers

Cites Work

• Debreu's gap theorem
• Utility functions and the order type of the continuum
• Utility theory and continuous monotonic functions
• The non-existence of a utility function and the structure of non-representable preference relations
• Representations of preference orderings
• Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof.
• The Debreu Gap Lemma and some generalizations
• On the structure of completely useful topologies
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