6533b82ffe1ef96bd1295224

RESEARCH PRODUCT

Mappings of finite distortion : size of the branch set

Ville TengvallStanislav HenclChang-yu Guo

subject

Applied Mathematics010102 general mathematicsbranch setsTopology01 natural sciencesSet (abstract data type)funktioteoriamappings of finite distortionDistortion0103 physical sciences010307 mathematical physics0101 mathematicsAnalysisGeometry and topologyMathematics

description

Abstract We study the branch set of a mapping between subsets of ℝ n {\mathbb{R}^{n}} , i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.

http://urn.fi/URN:NBN:fi:jyu-201806283376