Timeline for When are uniform embeddings quasisymetric
Current License: CC BY-SA 4.0
16 events
when toggle format | what | by | license | comment | |
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Mar 29, 2022 at 12:51 | vote | accept | Carlos_Petterson | ||
Mar 29, 2022 at 12:48 | answer | added | Vitali Kapovitch | timeline score: 1 | |
Mar 29, 2022 at 6:58 | comment | added | Carlos_Petterson | @YCor and VitaliKpovitch I have reduced the earlier incarnation of my question down to the current formulation: when are uniform embeddings quasi-symmetries (if their moduli are well-behaved). | |
Mar 29, 2022 at 6:57 | history | edited | Carlos_Petterson | CC BY-SA 4.0 |
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Mar 28, 2022 at 18:39 | history | edited | Carlos_Petterson | CC BY-SA 4.0 |
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Mar 28, 2022 at 18:01 | comment | added | Vitali Kapovitch | this question has Lipschitz in the title but not in the question itself. It is also strangely stated. are you assuming that $f$ is a bijection? Please restate the question clearly. | |
Mar 28, 2022 at 16:53 | comment | added | YCor | But the map need not be injective, and injectivity is not a necessary condition. And even for bijective maps between doubling spaces, uniform continuity can fail... | |
Mar 28, 2022 at 15:54 | comment | added | YCor | For a Lipschitz map the inverse simply doesn't exist. | |
Mar 28, 2022 at 15:46 | history | undeleted | Carlos_Petterson | ||
Mar 28, 2022 at 15:20 | history | deleted | Carlos_Petterson | via Vote | |
Mar 28, 2022 at 15:20 | history | edited | Carlos_Petterson | CC BY-SA 4.0 |
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Mar 28, 2022 at 15:19 | history | undeleted | Carlos_Petterson | ||
Mar 28, 2022 at 9:20 | history | deleted | Carlos_Petterson | via Vote | |
Mar 28, 2022 at 9:15 | history | edited | Carlos_Petterson | CC BY-SA 4.0 |
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Mar 28, 2022 at 9:12 | comment | added | YCor | If it were clear, the proof would also most likely provide a clear estimate. But it's just false. Just playing zigzag, you have a surjective 1-Lipschitz map from the reals (or half-reals) onto the 1-skeleton of a regular trivalent tree, which is not doubling. | |
Mar 28, 2022 at 8:07 | history | asked | Carlos_Petterson | CC BY-SA 4.0 |