Publication: Semicontinuous planar total preorders on non-separable metric spaces
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Date
2009
Authors
Director
Publisher
The Korean Mathematical Society
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa
Project identifier
Abstract
We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a nonrepresentable subset of the lexicographic plane and semicontinuous with respect to the metric topology.
Keywords
Real-valued functions, Metric spaces, Semicontinuous total preorders, Representability
Department
Matemáticas / Matematika
Faculty/School
Degree
Doctorate program
Editor version
Funding entities
This work has been supported by the research projects MTM 2006 - 15025 and MTM2007 - 62499, of the Spanish Ministry of Culture.
© 2009 The Korean Mathematical Society. Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
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