Order embeddings with irrational codomain: Debreu properties of real subsets
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Publication:878151
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
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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