Timeline for Is $C^r(M)$ non-isomorphic to $C^s(N)$ for $r\neq s$ and nontrivial manifolds $M,N$?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2022 at 7:40 | comment | added | Najib Idrissi | Great, thank you! | |
| Oct 5, 2022 at 7:11 | vote | accept | Z. M | ||
| Oct 4, 2022 at 18:50 | history | edited | Joseph Van Name | CC BY-SA 4.0 |
I simplified the proof.
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| Oct 4, 2022 at 18:16 | comment | added | Joseph Van Name | @NajibIdrissi I added details so that the proof holds for arbitrary manifolds. | |
| Oct 4, 2022 at 18:15 | history | edited | Joseph Van Name | CC BY-SA 4.0 |
I added details to the proof since users requested such details.
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| Oct 4, 2022 at 15:54 | comment | added | Najib Idrissi | I'm not sure that the sentence "Since manifolds are locally Euclidean, we may assume that $M=\mathbb{R}^d$." is true. Your example does not generalize to an arbitrary manifold. Could you elaborate? | |
| Oct 4, 2022 at 14:23 | history | answered | Joseph Van Name | CC BY-SA 4.0 |