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| Michael Zarichnyi and Oleksandra Hubal |
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| ''Whitney topology and spaces of preference relations'' |
| ( 2005, Vol. 3 No.4 ) |
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| 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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| Keywords: Whitney topology |
JEL:
D5 - General Equilibrium and Disequilibrium: General |
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| Manuscript Received : Nov 25 2004 | | Manuscript Accepted : Jan 20 2005 |
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