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Mappings of finite distortion from generalized manifolds

Ville Kirsilä

subject

Mappings of finite distortionDistortionQuasiconformal mappingsGeometry and TopologyTopologyMathematics

description

We give a definition for mappings of finite distortion from a generalized manifold with controlled geometry to a Euclidean space. We prove that the basic properties of mappings of finite distortion are valid in this context. In particular, we show that under the same assumptions as in the Euclidean case, mappings of finite distortion are open and discrete.

http://urn.fi/URN:NBN:fi:jyu-201510193412