| A general version of the Morse-Sard theorem |
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| 引用本文： | 姜海益. A general version of the Morse-Sard theorem[J]. Journal of Zhejiang University. Science. B, 2004, 0(7) |
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| 作者姓名： | 姜海益 |
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| 作者单位： | Department of |
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| 基金项目： | Project supported by the National Natural Science Foundation ofChina (No. 10171090) and the Scientific Research Fund of ZhejiangProvincial Education Department (No. 20030341)，China |
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| 摘 要： | INTRODUCTION The Morse-Sard theorem is a fundamentaltheorem in analysis, especially in the basis oftransversality theory and differential topology. Theclassical Morse-Sard theorem states that the imageof the set of critical points of a function f: Rm→Rnof class Cm ?n 1 has zero Lebesgue measure in Rn. Itwas proved by Morse (1939) in the case n =1andby Sard (1942) in general case. So it is called. Due to its theoretical importance, the Morse-Sard theorem was generalize…
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A general version of the Morse-Sard theorem |
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| JIANG Hai-yi. A general version of the Morse-Sard theorem[J]. Journal of Zhejiang University. Science. B, 2004, 0(7) |
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| Authors: | JIANG Hai-yi |
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| Abstract: | |
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| Keywords: | Hausdorff measure Rectifiable Morse decomposition |
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