The paper establishes a sharp quantitative estimate for the $(d-1)$-Hausdorff measure of the critical set of C¹ vector-valued functions on Rᵈ. Additionally, we prove that for a generic C² function where ``generic" is understood in the topological sense of Baire category, the critical set has a locally finite $(d-1)$-Hausdorff measure.
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Murdza et al. (2024) studied this question.
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