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Results tagged with differential-topology
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user 20516
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”.
7
votes
Ehresmann's fibration theorem in the C1 class
I believe the paper "Foliations and Fibrations" by Earle and Eells, Jr. in J. Differential Geometry 1 (1967), pp. 33-41 can be helpful.
The first proposition in their fourth section is a very genera …
- 2,274
5
votes
Next steps for a Morse theory enthusiast?
Next steps:
(0) (Relative Morse Theory) Geoffrey Mess' paper "Torelli groups of genus two and three surfaces" studies some relative Morse theory of the Abel-Jacobi period locus in the Siegel upper ha …