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0111 · Nov 200619922001200920172026
8 results for nonembeddability

Study shows bounds on knot groups and nonembeddability of certain open manifolds.

problem Nonembeddability of contractible open manifolds in compact spaces.
method Whitehead doubling and rank estimates of knot groups.
result Infinitely many non-homeomorphic contractible open manifolds cannot embed in compact spaces.

In this paper we construct examples of CRCR deformations of Lorentzian hypersurfaces which are CRCR embeddable at all points outside an arbitrarily small compact set whose interior contains a point where CRCR embeddablity is not possible.

2017-07-10abs ↗pdf ↗

Defines coupled embeddability for maps on products of spaces, generating examples and nonexamples.

problem Understanding when maps on products of spaces can be embedded.
method Uses known results for nonsingular biskew and bilinear maps, studies genericity properties, extends Whitney embedding theorems, and relates to Z/2\mathbb{Z}/2-coindex of embedding spaces.
result Generates strong obstructions to coupled embeddability in terms of combinatorics of triangulations.

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…

2006-11-30abs ↗pdf ↗