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| Home > Articles > Published articles > Hausdorff measures and the Morse-Sard theorem |
| Date: | 2001 |
| Abstract: | Let F : U [contained in] Rn --> Rm be a differentiable function and p < m an integer. If k [greater than or equal] 1 is an integer, [alpha] [member of] [0, 1] and F [member of] Ck+([alpha]), if we set Cp(F) = {x [member of] U $r ank(Df(x)) [less than or equal] p} then the Hausdorff measure of dimension [formula] of F(Cp(F)) is zero. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 45 N. 1 (2001) , p. 149-162, ISSN 2014-4350 |
