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Existence of continuous euclidean embedd...

Carr, Lawrence...

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Existence of continuous euclidean embeddings for a weak class of orders by Carr, Lawrence ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	03-08-2015
Summary	We prove that if X is a topological space that admits Debreu's classical utility theorem (eg.\ X is separable and connected, second countable, etc.), then order relations on X satisfying milder completeness conditions can be continuously embedded in RI for I some index set. In the particular case where X is a compact metric space, this closes a conjecture of Nishimura \& Ok (2015). We also show that when RI is given a non-standard partial order coinciding with Pareto improvement, the analogous embedding theorem fails to hold in the continuous case.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1508.00607

Citation

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AMA 11th EditionReferences

Carr, Lawrence. Existence of continuous euclidean embeddings for a weak class of orders. N.A. August 03, 2015. Accessed August 17, 2025. https://online.provdatabase.com/cite/11259

APA 7th EditionReferences

Carr, Lawrence. (2015). Existence of continuous euclidean embeddings for a weak class of orders. N.A. https://online.provdatabase.com/cite/11259

Chicago 17th EditionReferences

Carr, Lawrence. Existence of continuous euclidean embeddings for a weak class of orders. N.A. 2015. https://online.provdatabase.com/cite/11259

HarvardReferences

Carr, Lawrence. (2015). Existence of continuous euclidean embeddings for a weak class of orders. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11259. (Accessed 17 August 2025).

Harvard AustraliaReferences

Carr, Lawrence, 2015, Existence of continuous euclidean embeddings for a weak class of orders, N.A, viewed 17 August 2025, <https://online.provdatabase.com/cite/11259>

MLA 9th EditionWorks Cited

Carr, Lawrence. Existence of continuous euclidean embeddings for a weak class of orders. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11259.

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