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Results tagged with differential-topology
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user 51695
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
3
votes
When is a bi-Lipschitz homeomorphism smoothable?
There is some interest in a related question in non-linear elasticity, specifically people there would consider a function "smoothable" if there is a close-by (in some norm applying both to function a …
- 2,504
11
votes
Accepted
Is there a version of the Poincaré–Hopf theorem for manifold with corners?
With regards to the updated question: Note that the quoted statement is that the vector field points inward at the boundary. In particular this means that there are no singularities at the corners (no …
- 2,504