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Results tagged with infinite-dimensional-manifolds
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user 1573
8
votes
2
answers
2k
views
Fréchet manifolds vs ILH manifolds
What is the precise relation between ILH manifolds and Fréchet manifolds? Specifically:
Does any ILH manifold has a canonical structure of a Fréchet manifold?
If so, is it true that any ILH submani …
- 29.1k
5
votes
2
answers
616
views
Image of the Hilbert space under a continuous bijection
Consider a continuous bijection $X\to Y$ such that $X$ is homeomorphic to a separable infinite dimensional Hilbert space. I wonder what can be said about topological properties of $Y$.
To exclude sill …
- 29.1k
2
votes
1
answer
228
views
Complement of a closed star-shaped subset in a Frechet space
Let $U$ be the complement of a closed star-shaped subset in a separable
infinite-dimensional Frechet space. Since every
separable Frechet space is homeomorphic to $l_2$,
one knows that $U$ is a Hilbe …
- 29.1k