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- W2113717992 abstract "We construct a smooth compact n-dimensional manifold Y with one point singularity such that all its Lipschitz homotopy groups are trivial, but Lipschitz mappings Lip(S^n,Y) are not dense in the Sobolev space W^{1,n}(S^n,Y). On the other hand we show that if a metric space Y is Lipschitz (n-1)-connected, then Lipschitz mappings Lip(X,Y) are dense in N^{1,p}(X,Y) whenever the Nagata dimension of X is bounded by n and the space X supports the p-Poincare inequality." @default.
- W2113717992 created "2016-06-24" @default.
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- W2113717992 date "2013-06-27" @default.
- W2113717992 modified "2023-09-23" @default.
- W2113717992 title "Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces" @default.
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