Mappings of finite distortion: Removable singularities for locally homeomorphic mappings

Rajala, Kai

doi:10.1090/S0002-9939-04-07459-3

Mappings of finite distortion: Removable singularities for locally homeomorphic mappings
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Proc. Amer. Math. Soc. 132 (2004), 3251-3258 Request permission

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.

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