CONTINUOUS ORDER REPRESENTABILITY PROPERTIES OF TOPOLOGICAL SPACES AND ALGEBRAIC STRUCTURES

DOI10.4134/JKMS.2012.49.3.449zbMath1245.54027OpenAlexW1992416055MaRDI QIDQ2890874

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

Publication date: 12 June 2012

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

Full work available at URL: https://doi.org/10.4134/jkms.2012.49.3.449

zbMATH Keywords

social choice theorycovering propertiesalgebraic order-representabilityorder-representability propertiesordered structures on topological spacespreorderable subtopologies

Mathematics Subject Classification ID

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

Related Items (11)

Continuous Representability of Interval Orders: The Topological Compatibility Setting ⋮ The Continuous Representation Property in Utility Theory ⋮ Continuous order-preserving functions for all kind of preorders ⋮ A simple characterization of useful topologies in mathematical utility theory ⋮ The structure of useful topologies ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ Open Questions in Utility Theory ⋮ Searching for a Debreu’s Open Gap Lemma for Semiorders ⋮ Topologies for the continuous representability of all continuous total preorders ⋮ Theory of Generalized Risk Attitudes ⋮ A survey on the mathematical foundations of axiomatic entropy: representability and orderings

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