Timeline for Cyclic groups acting on balls, and interior fixed points
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 9, 2015 at 8:03 | comment | added | ThiKu | No, I didn't. An approach might be using Munkres Theorem (Annals '60) that homeomorphisms of the 2- or 3-disk can be approximated by diffeomorphisms. (I don't know what's the status in higher dimensions.) This should imply that the averaged metric can be approximated by Riemannian metrics but it's not clear to me what this means for the $\epsilon$-neighborhoods w.r.t. the limit metric. | |
| Nov 8, 2015 at 6:56 | comment | added | HJRW | To be clear, are you proposing a proof of this fact? | |
| Nov 7, 2015 at 9:46 | history | edited | ThiKu | CC BY-SA 3.0 |
added 14 characters in body
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| Nov 7, 2015 at 8:54 | comment | added | ThiKu | One can still average the path metric (as a metric in the sense of metric spaces, not a Riemannian one). One would have to show that balls in this metric are topological balls, though. | |
| Nov 7, 2015 at 7:07 | comment | added | HJRW | This averaging argument works if your action is smooth, but what if it's only continuous? | |
| Nov 7, 2015 at 5:54 | history | edited | ThiKu | CC BY-SA 3.0 |
same comments on the general case added
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| Nov 6, 2015 at 18:51 | history | answered | ThiKu | CC BY-SA 3.0 |