Further remarks on totally ordered representable subsets of Euclidean space

We introduce the property of ≾ -norm-boundedness on totally ordered subsets of Euclidean spaces. We show that when a closed subset X of the Euclidean space R n, endowed with a continuous total order ≾, is ≾ -norm-bounded, the order topology and the induced Euclidean topology must coincide on X. This...

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Bibliographic Details
Published in:	Journal of mathematical economics Vol. 25; no. 4; pp. 381 - 390
Main Authors:	Candeal, Juan C., Induráin, Esteban, Mehta, Ghanshyam B.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 1996 Elsevier Elsevier Sequoia S.A
Series:	Journal of Mathematical Economics
Subjects:	Decision making Economic models Economic theory Euclidean space Mathematical analysis Mathematical economics Normed spacesi Norms Ordered sets and order topologies Spatial dimension Studies Subsets Topological vector spaces Utility functions Ordered sets and order topologies Euclidean space C60i Normed spacesi Utility functions Topological vector spaces
ISSN:	0304-4068, 1873-1538
Online Access:	Get full text
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