Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems

DOI10.1016/j.na.2017.01.022zbMath1368.49053arXiv1408.6036OpenAlexW2355685223MaRDI QIDQ2357197

Kei-Ichi Kondo, Minoru Tanaka

Publication date: 19 June 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6036

zbMATH Keywords

Lipschitz mapdifferentiable sphere theoremnon-smooth analysisbi-Lipschitz homeomorphismsmooth approximationexotic spheres

Mathematics Subject Classification ID

Smooth approximations in differential topology (57R12) Nonsmooth analysis (49J52) Variational problems in a geometric measure-theoretic setting (49Q20) Global Riemannian geometry, including pinching (53C20) Differentiable structures in differential topology (57R55)

Related Items (4)

Approximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functions ⋮ Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion ⋮ Differentiable sphere theorems whose comparison spaces are standard spheres or exotic ones ⋮ The singular locus of an almost distance function

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