Differentiable Order Homomorphisms

  • Douglas S. Bridges
  • Ghanshyam B. Mehta
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 422)


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.


Open Subset Tangent Space Implicit Function Theorem Integral Manifold Differentiable Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Douglas S. Bridges
    • 1
  • Ghanshyam B. Mehta
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of WaikatoHamiltonNew Zealand
  2. 2.Department of EconomicsUniversity of QueenslandBrisbaneAustralia

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