Whitney topology and spaces of preference relations

The strong Whitney topology on the sets of maps of smooth manifolds induces a topology on the set of preferences in euclidean space. We prove that the obtained space is not connected which implies that there is no continuous social choice function defined on a finite power of this space. We also show that the obtained space is not normal.

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Year of publication:	2005
Authors:	Zarichnyi, Michael ; Hubal, Oleksandra
Published in:	Economics Bulletin. - AccessEcon, ISSN 1545-2921. - Vol. 3.2005, 4, p. 1-7
Publisher:	AccessEcon
Subject:	Whitney topology

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Extent:	application/pdf
Type of publication:	Article
Language:	English
Classification:	C0 - Mathematical and Quantitative Methods. General ; D5 - General Equilibrium and Disequilibrium
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005416885