Hausdorff measures and the Morse-Sard theorem

被引:0
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作者
Moreira, CGTD [1 ]
机构
[1] IMPA, BR-22460320 Rio De Janeiro, Brazil
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let F: U subset of R-n --> R-m be a differentiable junction and p < m an integer. If k greater than or equal to 1 is an integer, alpha epsilon [0,1] and F epsilon Ck+(alpha), if we set C-p(F) = {x epsilon U / rank(Df(x)) less than or equal to p} then the Hausdorff measure of dimension (p + n-p/k+alpha) of F(C-p(F)) is zero.
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页码:149 / 162
页数:14
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