Adv. Math. Econ. Volume 5, pp.65-96 (2003)



Implicit functions and diffeomorphisms without C1

Leonid Hurwicz1 and Marcel K. Richter2
1 Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455, USA
2 Department of Economics, University of Minnesota, 271 19th Avenue South, Minneapolis, MN 55455, USA
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Abstract.
We prove implicit and inverse function theorems for non-C1 functions, and characterize non-C1 diffeomorphisms.
Key Words:
Implicit function theorem, inverse function theorem, diffeomorphism, non-C1 analysis