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Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].

4 votes

Why should I prefer bundles to (surjective) submersions?

It probably won't matter which concept you use due to the theorem of Ehresmann. See: http://en.wikipedia.org/wiki/Ehresmann%27s_theorem It states something like most surjective submersions are in fac …
Sean Tilson's user avatar
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