A Critical Set with Nonnull Image has Large Hausdorff Dimension
نویسندگان
چکیده
منابع مشابه
A Critical Set with Nonnull Image Has Large Hausdorff Dimension
The question of how complicated a critical set must be to have a nonnull image is answered by relating its Hausdorff dimension to the (Holder) differentiability of the map. This leads to a new extension of the Morse-Sard Theorem. The main tool is an extended version of Morse's Lemma.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1986
ISSN: 0002-9947
DOI: 10.2307/2000579