Uniform continuity properties of preference relations
type: Item
instance of: scholarly article
title: Uniform continuity properties of preference relations
zbMATH Open document ID: 1186.03074
author: Douglas Bridges
published in: Notre Dame Journal of Formal Logic
publication date: 2010-01-13T00:00:00Z
review text: 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.
reviewed by: Josef Berger
Mathematics Subject Classification ID: 03F60
Mathematics Subject Classification ID: 91B08
zbMATH DE Number: 5657684
zbMATH Keywords: constructive mathematics
zbMATH Keywords: preference relation
zbMATH Keywords: continuity
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5657684