Surjective mappings whose differential is nowhere surjective

Author:
Y. Yomdin

Journal:
Proc. Amer. Math. Soc. **111** (1991), 267-270

MSC:
Primary 58C25

DOI:
https://doi.org/10.1090/S0002-9939-1991-1039267-2

MathSciNet review:
1039267

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Abstract: Examples of -mappings , are given, with rank at any , but , for any . Thus a weak form of Sard's theorem (if all the points in the source are critical, the image has measure zero) does not hold for mappings of low smoothness.

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DOI:
https://doi.org/10.1090/S0002-9939-1991-1039267-2

Article copyright:
© Copyright 1991
American Mathematical Society