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Some utility theorems on inductive limits of preordered topological spaces

Published online by Cambridge University Press:  17 April 2009

J.C. Candeal
Affiliation:
Departamento de Análisis Económico, Universidad de Zaragoza, Facultad de Ciencias Económicas, y Empresariales, Gran Vía 2–4, 50005-Zaragoza, Spain
E. IndurÁIn
Affiliation:
Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus Arrosadía s.n. 31006-Pamplona, Spain
G.B. Mehta
Affiliation:
Department of Economics, The University of Queensland, St. Lucia, Queensland, Australia 4067
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Abstract

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We prove the existence of an order-preserving function on a class of preordered topological spaces that are inductive limits of preordered spaces. Some applications to economics are given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1995

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