A Critical Set with Nonnull Image Has Large Hausdorff Dimension
نویسنده
چکیده
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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تاریخ انتشار 2010