Mappings of finite distortion: Removable singularities for locally homeomorphic mappings
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Abstract:
Let $f$ be a locally homeomorphic mapping of finite distortion in dimension larger than two. We show that when the distortion of $f$ satisfies a certain subexponential integrability condition, small sets are removable. The smallness is measured by a weighted modulus.References
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Additional Information
- Kai Rajala
- Affiliation: University of Jyväskylä, Department of Mathematics and Statistics, P.O. Box 35, FIN-40014 University of Jyväskylä, Finland
- MR Author ID: 718650
- Email: kirajala@maths.jyu.fi
- Received by editor(s): February 12, 2003
- Received by editor(s) in revised form: July 2, 2003
- Published electronically: May 12, 2004
- Additional Notes: The author was supported by the foundations Magnus Ehrnroothin Säätiö and Vilho, Yrjö ja Kalle Väisälän Rahasto. A part of this research was done when the author was visiting at the University of Michigan. He wishes to thank the department for its hospitality.
- Communicated by: Juha M. Heinonen
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3251-3258
- MSC (2000): Primary 30C65
- DOI: https://doi.org/10.1090/S0002-9939-04-07459-3
- MathSciNet review: 2073299