Talk:Swan's theorem
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I would be more comfortable with the statement if M were assumed to be connected. Is that necessary? AxelBoldt 14:13, 4 Dec 2003 (UTC)
- Oh, we're in a compact situation, so we have at most finitely many connected components, and I don't think we need connectedness after all. AxelBoldt 14:54, 4 Dec 2003 (UTC)
- Compactness is sufficient. Phys 14:58, 4 Dec 2003 (UTC)
I assume there is also a version of the theorem in algebraic geometry? AxelBoldt 23:04, 11 Dec 2003 (UTC)