Search results for "BLD-mappings"

showing 2 items of 2 documents

A Newman property for BLD-mappings

2019

We define a Newman property for BLD-mappings and prove that for a BLD-mapping between generalized manifolds equipped with complete path-metrics, this property is equivalent to the branch set being porous when the codomain is LLC. peerReviewed

Discrete mathematicsProperty (philosophy)BLD-mappings010102 general mathematicsMetric Geometry (math.MG)30L10 30C65 57M1216. Peace & justice01 natural sciences010101 applied mathematicsSet (abstract data type)Mathematics - Metric GeometryPath (graph theory)FOS: MathematicsGeometry and Topologygeometria0101 mathematicsMathematics
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On BLD-mappings with small distortion

2021

We show that every $$L$$ -BLD-mapping in a domain of $$\mathbb {R}^{n}$$ is a local homeomorphism if $$L < \sqrt{2}$$ or $$K_I(f) < 2$$ . These bounds are sharp as shown by a winding map.

Pure mathematicsPartial differential equationFunctional analysisMathematics - Complex VariablesLocal homeomorphismBLD-mappings010102 general mathematicsbranch setA domain30C65 57M12 30L10quasiregular mappingsMetric Geometry (math.MG)General MedicineAlgebraic geometry01 natural scienceslocal homeomorphismMathematics::Geometric TopologyDistortion (mathematics)010104 statistics & probabilityMathematics - Metric Geometry111 MathematicsFOS: Mathematics0101 mathematicsComplex Variables (math.CV)Mathematics
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