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Existence of an order-preserving function on normally preordered spaces

Published online by Cambridge University Press:  17 April 2009

Ghanshyam Mehta
Ghanshyam Mehta
Affiliation:
Departments of Economics and Mathematics, University of Queensland, St. Lucia. Qld. 4067.
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Abstract

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The object of this paper is to generalize the classic theorems of Eilenberg and Debreu on the existence of continuous order-preserving transformations on ordered topological spaces and to prove them in a different way. The proof of the theorems is based on Nachbin's generalization to ordered topological spaces of Urysohn's separation theorem in normal topological spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 1 , August 1986 , pp. 141 - 147
Copyright
Copyright © Australian Mathematical Society 1986

References

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