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Results tagged with differential-topology
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user 160186
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”.
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Conditions for which level sets are diffeomorphic to one another
Let $\pi:\mathbb R^d\longrightarrow\mathbb R$ be Lipschitz continuous and such that $\|\nabla\pi\|>0$ almost everywhere. Suppose that the level set $\pi^{-1}(0)$ is compact. Can I conclude that the le …
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