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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2006; 43(1): 159-181

Printed January 1, 2006

Copyright © The Korean Mathematical Society.

On Yi's extension property for totally preordered topological spaces

M. J. Campion, J. C. Candeal, and Esteban Indurain

Universidad de Zaragoza, Universidad Publica de Navarra

Abstract

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The objective of this paper is to show further results concerning the problem of extending total preorders from a subset of a topological space to the entire space using the approach introduced by Gyoseob Yi.

Keywords: real-valued functions, numerical representability of total preorders, topological spaces, extension properties, continuous order-preserving functions

MSC numbers: Primary 54F05; Secondary 91B16

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