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Results tagged with differential-topology
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user 5659
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
Differentiable structures on R^3
There are infinitely many differentiable structures on $\mathbb R$ : take any homeomorphism which is no diffeomorphism (such as $x\mapsto x^3$), and you get an non-usual differentiable structure on $\ …
- 2,727
4
votes
What's the difference between a real manifold and a smooth variety?
I think there's some big difference concerning the metric approach too.
In fact, the Gram-Schmidt process (which is real analytic) enables us -in real differential geometry- to find some local orthon …