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Results tagged with differential-topology
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user 112954
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”.
6
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Codimension zero embeddings and maps with small fibers
Isn't the following an example?
Build $M$ starting from the plane by attaching an infinite sequence of handles whose size decreases to zero.
Take for $N$ the disjoint union of $M_k$, where $M_k$ is th …
- 2,772
6
votes
Unstable manifolds of a Morse function give a CW complex
Let us show that there exists a metric for which stable and unstable manifolds of a given Morse function are transverse.
By Kupka-Smale theorem, a Morse function $f$ on a manifold with a Riemannian m …
- 2,772