Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces

Piotr Hajlasz

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Submission date: 06. Jul. 2007
Pages: 26
Bibtex
MSC-Numbers: 46E35
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Abstract:
We prove that Lipschitz mappings are dense in the Newtonian-Sobolev class of mappings from spaces X supporting p-Poincaré inequalities into a finite Lipschitz polyhedron Y if and only if Y is [p]-connected i.e., , where [p] is the largest integer less than or equal to p.