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Results tagged with infinite-dimensional-manifolds
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user 943
12
votes
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Smooth vector fields on a surface modulo diffeomorphisms
This is not finite dimensional. For example, consider non-vanishing vector fields on $T^2=\mathbb R^2/\mathbb Z^2$, transversal to vertical circles. Any such field defines a self diffeo $S^1\to S^1$ …
- 28.9k
2
votes
Complement of a closed star-shaped subset in a Frechet space
I guess you want to impose some additional conditions on $U$. If $U$ is unbounded, then the topology of $l_2\setminus U$ can be as complicated as you wish. For example if you take U to be the product …
- 28.9k