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math.GT2013
Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces
Piotr Hajlasz, Armin Schikorra
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…
math.GT2013
Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
Piotr Hajlasz, Armin Schikorra, Jeremy T. Tyson
We provide a sufficient condition for the nontriviality of the Lipschitz homotopy group of the Heisenberg group, , in terms of properties of the classical homotopy…