6533b82ffe1ef96bd1295224
RESEARCH PRODUCT
Mappings of finite distortion : size of the branch set
Ville TengvallStanislav HenclChang-yu Guosubject
Applied Mathematics010102 general mathematicsbranch setsTopology01 natural sciencesSet (abstract data type)funktioteoriamappings of finite distortionDistortion0103 physical sciences010307 mathematical physics0101 mathematicsAnalysisGeometry and topologyMathematicsdescription
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.
year | journal | country | edition | language |
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2018-03-30 |