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Mappings of finite distortion: Removable singularities for locally homeomorphic mappings

Kai Rajala

subject

Distortion (mathematics)Dimension (vector space)Applied MathematicsGeneral MathematicsMathematical analysisModulusGravitational singularityMathematics

description

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.

https://doi.org/10.1090/s0002-9939-04-07459-3