Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target

DOI10.1007/s00039-007-0594-yzbMath1132.46023arXivmath/0602029OpenAlexW2020899366MaRDI QIDQ2370118

Piotr Hajłasz

Publication date: 22 June 2007

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602029

zbMATH Keywords

metric spacesapproximationSobolev mappingsclosed manifolds

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Manifolds of mappings (58D15) Manifolds of mappings (46T10)

Related Items (8)

On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target ⋮ Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups ⋮ Path and quasi-homotopy for Sobolev maps between manifolds ⋮ Limits of Sobolev homeomorphisms ⋮ Monotone Sobolev mappings of planar domains and surfaces ⋮ Sobolev Mappings between Manifolds and Metric Spaces ⋮ Quaternionic Hermitian spinor systems and compatibility conditions ⋮ Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces

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