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Ordered topological spaces and the theorems of Debreu and Peleg

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Publication:1051931
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zbMath0515.54024MaRDI QIDQ1051931

Ghanshyam B. Mehta

Publication date: 1983

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

completely preordered topological spaceorder-separable spaceutility function and representation


Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05)


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Numerical representation of interval orders on a topological space ⋮ The Debreu Gap Lemma and some generalizations ⋮ Some general theorems on the existence of order-preserving functions ⋮ The continuity postulate in economic theory: a deconstruction and an integration ⋮ On some equivalent approaches to mathematical utility theory ⋮ On the existence of utility functions ⋮ Time functions as utilities ⋮ Preference intensity and cardinality ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ Open gaps, metrization and utility



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