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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On the image size of singular maps. I

Author: S. M. Bates
Journal: Proc. Amer. Math. Soc. 114 (1992), 699-705
MSC: Primary 58C25; Secondary 26B05
MathSciNet review: 1074748
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Abstract: For fixed integers $ n > m > {r_l} + 1 > 0$, we establish a sharp upper bound for the Hölder differentiability class of singular maps $ f:{{\mathbf{R}}^n} \to {{\mathbf{R}}^m}$ of subrank $ {r_l}$ whose images have positive Lebesgue $ m$-measure.

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PII: S 0002-9939(1992)1074748-8
Article copyright: © Copyright 1992 American Mathematical Society

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