Timeline for unlinking when relaxing the homeomorphism condition
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 21, 2020 at 5:40 | history | edited | Steve | CC BY-SA 4.0 |
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| Sep 15, 2020 at 19:17 | history | edited | Steve | CC BY-SA 4.0 |
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| Sep 15, 2020 at 19:17 | vote | accept | Steve | ||
| Sep 15, 2020 at 4:02 | answer | added | Ian Agol | timeline score: 8 | |
| Sep 14, 2020 at 17:05 | comment | added | Steve | Hi Connor, yes I have edited the question a little bit as suggested. | |
| Sep 14, 2020 at 17:02 | comment | added | Connor Malin | Yes, I think this was added after I commented. | |
| Sep 14, 2020 at 15:44 | history | edited | Steve | CC BY-SA 4.0 |
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| Sep 14, 2020 at 15:27 | comment | added | Steve | Thank you for your answer. Actually, I don't want my function to "factor through" another continues function because in that case I know we can separate them even with a homeomorphism ( we send them to a higher space and the unlink them then send them back to $S^3$). In that case can we find such a map ? | |
| Sep 14, 2020 at 15:26 | comment | added | Moishe Kohan | I suspect you forgot to assume that $deg(f)=\pm 1$. | |
| Sep 14, 2020 at 14:53 | comment | added | Connor Malin | If I’m understanding your question correctly, the Tietze extension theorem tells you that since your links are closed subsets, it is possible to separate them with a function to the interval. After that you may just embed the interval into $S^3$. | |
| Sep 14, 2020 at 14:44 | history | asked | Steve | CC BY-SA 4.0 |