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Results tagged with smooth-manifolds
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user 22002
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].
13
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What is the characteristic property of surjective submersions?
In Lee's Introduction to smooth manifolds he states that given smooth manifolds $X,Y$ and a surjective submersion, $f:X \rightarrow Y$, then $f$ is a smoothly final map, that is for any further smooth …
- 107
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What are the current possibilities for infinite-dimensional manifolds? [closed]
According to wikipedia, by a theorem of Henderson '69, infinite-dimensional Frechet Manifolds embed as open subspaces of Hilbert Space. They need to be seperable & metric. They are generalisations of …
- 2,083
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Are exotic spheres still exotic in generalised smooth spaces? [closed]
This is really more of a philosophical question, and the title is somewhat rhetorical:
Exotic spheres are a feature of smooth manifold theory, where certain spheres can have more than one differentia …
- 9,870
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are immersions/submersions captured in generalised smooth spaces by some universal property?
Immersions & sumersions are important in differential manifolds. They rely on their definition of the construction of the tangent bundle.
I realise that generalised smooth spaces do not have a canoni …
- 35.5k