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Results tagged with infinite-dimensional-manifolds
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user 12156
6
votes
Accepted
CW structure on infinite-dimensional manifolds
Let $M$ be a Hilbert manifold. Then there exists a Riemannian metric $g$ on $M$ such that the induced metric $d$ is complete (See https://arxiv.org/pdf/1610.01527.pdf by Biliotti and Mercuri). Thus $M …
- 7,583
4
votes
Tangent space to infinite dimensional manifolds
Infinite dimensional manifolds are modeled locally on one given infinite dimensional space. So I've never seen what you are asking for.
How different local models for infinite dimensional manifolds ar …
- 7,583
14
votes
Infinite dimensional symplectic geometry
Aspects of symplectic topology hold in the infinite dimensional setting. A notable difference is that there are different notions for what a symplectic form should be: there is the notion of a strong …
- 7,583
6
votes
Accepted
Intersection modulo 2 theory for infinite dimensional manifolds?
One can speak of transersality of intersections in an infinite dimensional context.
If one goes beyond Hilbert manifolds (e.g. Banach, Frechet) one needs to be a bit careful with the definition of tra …
- 7,583