Non-Hausdorff multifunction generalization of the Kelley-Morse Ascoli theorem
نویسندگان
چکیده
منابع مشابه
Hausdorff Measures and the Morse - Sard Theorem
Let F : U ⊂ Rn → Rm be a differentiable function and p < m an integer. If k ≥ 1 is an integer, α ∈ [0, 1] and F ∈ Ck+(α), if we set Cp(F ) = {x ∈ U | rank(Df(x)) ≤ p} then the Hausdorff measure of dimension (p + n−p k+α ) of F (Cp(F )) is zero.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1976
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1976.64.137