Uniform Continuity Properties of Preference Relations
Bridges, Douglas S.
Notre Dame J. Formal Logic, Tome 49 (2008) no. 1, p. 97-106 / Harvested from Project Euclid
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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.
Publié le : 2008-01-15
Classification:  constructive,  preference relation,  continuity,  03F60,  91B08 
@article{1199649903,
     author = {Bridges, Douglas S.},
     title = {Uniform Continuity Properties of Preference Relations},
     journal = {Notre Dame J. Formal Logic},
     volume = {49},
     number = {1},
     year = {2008},
     pages = { 97-106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1199649903}
}

Bridges, Douglas S. Uniform Continuity Properties of Preference Relations. Notre Dame J. Formal Logic, Tome 49 (2008) no. 1, pp.  97-106. http://gdmltest.u-ga.fr/item/1199649903/