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Results tagged with differential-topology
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user 85500
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”.
2
votes
Vector bundles over a homotopy-equivalent fibration
As indicated in the comments, this question ended up being accidentally rather trivial.
Specifically, the following three facts are fairly well-known and rather easy to establish:
For homotopic smoot …
- 3,307
1
vote
Accepted
Cohomology of foliations and closed forms along the leaves
I am hardly an expert on this topic, but here's a construction.
Let $\Omega^k:=\Omega^k(M)$, and let$$F\Omega^k=\{\omega\in\Omega^k:\omega(v_1,\dots,v_k)=0,\quad v_1,\dots,v_k\in T_x\Sigma,\ \Sigma\te …
- 3,307