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Results tagged with infinite-dimensional-manifolds
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user 9928
6
votes
Homotopy problem for infinite dimensional topological space
As Dan pointed out, this is wrong in general, but there are situations where an approximation result does hold. One example for such results is due to Palais ('On the homotopy type of certain groups o …
- 20.9k
30
votes
Accepted
Are infinite dimensional constructions needed to prove finite dimensional results?
Any compact Lie group admits an embedding into a large linear group $GL_n (\mathbb{C})$.
I think it is no question that this is a genuinely finite-dimensional and important statement. The proof is vi …
- 20.9k