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Maury Barbato
Posts:
792
From:
University Federico II of Naples
Registered:
3/15/05


C^1 Functions and Lebesgue Measure
Posted:
Jun 19, 2012 4:18 AM


Hello, let f:R^n > R^m be a C^1 function such that the jacobian J of f in every point x has rank m, and let E be a subset of R^m with Lebesgue measure zero. Is it true that f^{1}(E) has Lebesgue measure zero in R^n?
Thank you very very much for your attention. My Best Regards, Maury Barbato



