A sharp quantitative estimate of critical sets
| Autor: | Murdza, Andrew, Nguyen, Khai T. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | The paper establishes a sharp quantitative estimate for the $(d-1)$-Hausdorff measure of the critical set of $\mathcal{C}^1$ vector-valued functions on $\mathbb{R}^d$. Additionally, we prove that for a generic $\mathcal{C}^2$ function where ``generic" is understood in the topological sense of Baire category, the critical set has a locally finite $(d-1)$-Hausdorff measure. Comment: arXiv admin note: substantial text overlap with arXiv:2312.17462 |
| Databáze: | arXiv |
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