Abstract
This chapter deals with the representation of a total preorder on a differentiable manifold by a differentiable order isomorphism. Section 1 contains basic definitions, and the fundamental theorem of Frobenius, from manifold theory. Using that theorem, we establish in Section 2 the existence of local differentiable order isomorphisms. Finally, in Section 3, we prove the existence of differentiable order isomorphisms.
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© 1995 Springer-Verlag Berlin Heidelberg
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Bridges, D.S., Mehta, G.B. (1995). Differentiable Order Homomorphisms. In: Representations of Preferences Orderings. Lecture Notes in Economics and Mathematical Systems, vol 422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51495-1_7
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DOI: https://doi.org/10.1007/978-3-642-51495-1_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58839-9
Online ISBN: 978-3-642-51495-1
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