Some utility theorems on inductive limits of preordered topological spaces

DOI10.1017/S0004972700014660zbMath0858.54009MaRDI QIDQ4859668

Esteban Induráin, Ghanshyam B. Mehta, Juan Carlos Candeal

Publication date: 1 February 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

order-preserving functioninductive limitspreordered topological spaces

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Spectra in general topology (54B35) Real-valued functions in general topology (54C30)

Related Items (7)

Representable topologies and locally connected spaces ⋮ Normally preordered spaces and utilities ⋮ A Note on Representable Group Topologies ⋮ Jointly Continuous Multi-utility Representations of Non-total Preorders ⋮ Utility functions on locally connected spaces ⋮ Constructive utility functions on Banach spaces ⋮ Jointly continuous utility functions on submetrizable \(k_\omega\)-spaces

Cites Work

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• On the existence of utility functions. II
• Some lifting theorems for continuous utility functions
• On the existence of utility functions
• An equilibrium existence theorem without complete of transitive preferences
• A New Extension Procedure for the Arrow-Hahn Theorem
• Existence of a Continuous Utility Function: An Elementary Proof
• Numerical Representation of Utility
• Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences
• Utility Functions for Partially Ordered Topological Spaces
• Ordered Topological Spaces

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