- #1
Cincinnatus
- 389
- 0
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?
So the charts would just map to the Hilbert space rather than R^n. Could the rest of the definition be left the same?
So the charts would just map to the Hilbert space rather than R^n. Could the rest of the definition be left the same?