Study shows bounds on knot groups and nonembeddability of certain open manifolds.
arXiv research
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Study the discontinuity of functions not embeddable in Euclidean space.
CR 3-sphere rigidity proven through curvature invariant.
This is a short survey of Cheeger and Kleiner's nonembeddability theorem for Heisenberg group into .
In this paper we construct examples of deformations of Lorentzian hypersurfaces which are embeddable at all points outside an arbitrarily small compact set whose interior contains a point where embeddablity is not possible.
Defines coupled embeddability for maps on products of spaces, generating examples and nonexamples.
Study on embeddings and their topological properties in R^d.
This is one of a series of papers examining the interplay between differentiation theory for Lipschitz maps, X-->V, and bi-Lipschitz nonembeddability, where X is a metric measure space and V is a Banach space. Here, we consider the case V=L^1 where differentiability fails. We establish another kind of differentiability…