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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58C25, 26B05

Retrieve articles in all journals with MSC: 58C25, 26B05

Additional Information

Article copyright: © Copyright 1992 American Mathematical Society