A New Extension Procedure for the Arrow-Hahn Theorem

DOI10.2307/2526139zbMath0458.90007OpenAlexW2011654806MaRDI QIDQ3908730

Ghanshyam B. Mehta

Publication date: 1981

Published in: International Economic Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2526139

zbMATH Keywords

ordered topological spacesArrow-Hahn theoremexistence of continuous utility functionsNachbin's separation theoremNachbin-Urysohn theoremsNachbin's extension theoremsmallest decreasing closed setsmallest increasing closed setweak upper-contour sets

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16)

Related Items (7)

Existence of a continuous utility function with path monotonicity: The Wold approach ⋮ The Euclidean distance construction of order homomorphisms ⋮ On the existence of utility functions ⋮ Some utility theorems on inductive limits of preordered topological spaces ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ On a lifting theorem of Nachbin ⋮ Constructive utility functions on Banach spaces

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