Timeline for Restrictions of a local diffeomorphism
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 21, 2019 at 7:08 | answer | added | Taras Banakh | timeline score: 2 | |
| Oct 16, 2019 at 4:18 | comment | added | Hsuan-Yi Liao | I don’t know any counterexamples even for local homeomorphisms | |
| Oct 16, 2019 at 3:50 | comment | added | erz | Especially, if both $Z$ and its preimage are compact | |
| Oct 16, 2019 at 3:42 | comment | added | erz | do you know of any counterexample for the local homeomorphisms? | |
| Oct 15, 2019 at 11:22 | comment | added | Hsuan-Yi Liao | It's OK. Thank you for the comment. | |
| Oct 15, 2019 at 9:59 | comment | added | abx | Oops — OK, sorry, I misread the question. I delete my comment. | |
| Oct 15, 2019 at 9:25 | comment | added | Hsuan-Yi Liao | @abx If I remember correctly, properness is a condition for a local diffeomorphism being a covering map. But my $f$ is not a covering map. It's a different question. | |
| Oct 15, 2019 at 9:22 | comment | added | Hsuan-Yi Liao | @abx I don't think it's a counterexample because one can take $U=\{e^{2\pi i t} \mid 1/2-1/6 < t < 1/2 + 1/6 \}$. Then $U$ is a neighborhood of $\{-1\}$ and the restriction $f|_U: U \to f(U)$ is a diffeomorphism. | |
| Oct 15, 2019 at 8:05 | review | Close votes | |||
| Oct 23, 2019 at 17:10 | |||||
| Oct 15, 2019 at 6:08 | history | asked | Hsuan-Yi Liao | CC BY-SA 4.0 |