浙江大学学报(英文版)
浙江大學學報(英文版)
절강대학학보(영문판)
JOURNAL OF ZHEJIANG UNIVERSITY SCIENCE
2004年
7期
754-758
,共5页
Hausdorff measure%Rectifiable%Morse decomposition
Let k,m,n be positive integers,and k≥2,α∈(0,1],0＜r＜min {m,n} an integer,d=r+(m-r)/(k+α),and iff∈ Ck,α(Rm,R″),A =Cr(f)= {x ∈ Rm ,rank(Df(x))≤r},thenf(A)is d-null.Thus the statement posed by Arthur Sard in 1965 can be completely solved when k≥2.
