Whitney topology and spaces of preference relations

Michael Zarichnyi () and Oleksandra Hubal ()
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Michael Zarichnyi: University of Rzeszow, Lviv National University
Oleksandra Hubal: Lviv National University

Economics Bulletin, 2005, vol. 3, issue 4, 1-7

Abstract: 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.

Keywords: Whitney; topology (search for similar items in EconPapers)
JEL-codes: C0 D5 (search for similar items in EconPapers)
Date: 2005-01-20
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