Uniform Continuity Properties of Preference Relations

Notre Dame Journal of Formal Logic 49 (1):97-106 (2008)

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
Keywords constructive   preference relation   continuity
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DOI 10.1002/malq.200710059
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References found in this work BETA

Apartness Spaces as a Framework for Constructive Topology.Douglas Bridges & Luminiţa Vîţă - 2003 - Annals of Pure and Applied Logic 119 (1-3):61-83.
Continuity Properties in Constructive Mathematics.Hajime Ishihara - 1992 - Journal of Symbolic Logic 57 (2):557-565.
Continuity and Nondiscontinuity in Constructive Mathematics.Hajime Ishihara - 1991 - Journal of Symbolic Logic 56 (4):1349-1354.
Uniform Continuity Properties of Preference Relations.Douglas S. Bridges - 2008 - Notre Dame Journal of Formal Logic 49 (1):97-106.

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Uniform Continuity Properties of Preference Relations.Douglas S. Bridges - 2008 - Notre Dame Journal of Formal Logic 49 (1):97-106.

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