Can you define a space that is locally homeomorphic to an infinite dimensional Hilbert space analogously to how you define a (smooth) manifold by an atlas defining local homeomorphisms to R^n?(adsbygoogle = window.adsbygoogle || []).push({});

So the charts would just map to the Hilbert space rather than R^n. Could the rest of the definition be left the same?

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# Manifolds in hilbert space?

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