Mappings of finite distortion: a new proof for discreteness and openness

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RESEARCH PRODUCT

Mappings of finite distortion: a new proof for discreteness and openness

subject

Distortion function Discrete mathematics General Mathematics Distortion Elementary proof ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Mathematics

description

We give a new and elementary proof of the known result: a non-constant mapping of finite distortion f : Ω ⊂ ℝn → ℝn is discrete and open, provided that its distortion function if n = 2 and that for some p > n − 1 if n ≥ 3.

year	journal	country	edition	language
2008-10-01	Proceedings of the Royal Society of Edinburgh: Section A Mathematics

https://doi.org/10.1017/s0308210506000825

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