Timeline for Universal covers of non-prime 3-manifolds
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 3, 2022 at 22:34 | history | edited | YCor |
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| Mar 31, 2022 at 2:27 | answer | added | Sam Nead | timeline score: 4 | |
| Mar 30, 2022 at 18:12 | comment | added | Ryan Budney | This general construction describes all the universal covers, including the exceptional cases, like $\Bbb RP^3$ sum $\Bbb RP^3$, whose universal cover is $\Bbb R \times S^2$. | |
| Mar 30, 2022 at 17:52 | comment | added | Ryan Budney | For sums of lens spaces, usually the universal covers are the complements of Cantor sets in $S^3$. There are a few exceptions, but that describes most of them. You construct the cover explicitly, by thinking of the universal cover of a punctured lens space as a multiply-punctured sphere, then realizing you can do all the connect-sum operations in one ambient $S^3$. | |
| Mar 30, 2022 at 17:33 | history | asked | Minkowski | CC BY-SA 4.0 |