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2008 Uniform Continuity Properties of Preference Relations
Douglas S. Bridges
Notre Dame J. Formal Logic 49(1): 97-106 (2008). DOI: 10.1215/00294527-2007-006

Abstract

The anti-Specker property, a constructive version of sequential compactness, is used to prove constructively that a pointwise continuous, order-dense preference relation on a compact metric space is uniformly sequentially continuous. It is then shown that Ishihara's principle BD-ℕ implies that a uniformly sequentially continuous, order-dense preference relation on a separable metric space is uniformly continuous. Converses of these two theorems are also proved.

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Douglas S. Bridges. "Uniform Continuity Properties of Preference Relations." Notre Dame J. Formal Logic 49 (1) 97 - 106, 2008. https://doi.org/10.1215/00294527-2007-006

Information

Published: 2008
First available in Project Euclid: 6 January 2008

zbMATH: 1186.03074
MathSciNet: MR2376853
Digital Object Identifier: 10.1215/00294527-2007-006

Subjects:
Primary: 03F60
Secondary: 91B08

Rights: Copyright © 2008 University of Notre Dame

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