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Results tagged with infinite-dimensional-manifolds
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user 26207
4
votes
2
answers
405
views
Can we define smooth diffeomorphisms on the Hilbert cube $[0,1]^\mathbb{N}$ ? Has it been do...
Can we define smooth diffeomorphisms on the Hilbert cube$[0,1]^\mathbb{N}$ ? Has it been done in the literature?
For example, let $E$ be the set of bijections $f$ of the Hilbert cube, such that $f((x …
- 403
3
votes
1
answer
1k
views
Is it possible to define a structure of differentiable manifold on the Hilbert cube $[0,1]^\...
Is it possible to define a structure of differentiable (smooth) manifold on the Hilbert cube $[0,1]^\mathbb{N}$ ?
Has it been done in the literature?
In textbooks, only the Banach case is treated, …
- 403