Timeline for Topology of boundaries of hyperbolic groups
Current License: CC BY-SA 4.0
11 events
when toggle format | what | by | license | comment | |
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Jul 23, 2018 at 14:29 | history | edited | HJRW | CC BY-SA 4.0 |
Minor edit.
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Jul 23, 2018 at 8:43 | comment | added | HJRW | @JimBelk, I do -- thanks for the correction. | |
Jul 23, 2018 at 8:43 | history | edited | HJRW | CC BY-SA 4.0 |
Corrected "Sierpinski carpet" to "Sierpinski gasket".
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Jul 22, 2018 at 13:22 | comment | added | Jim Belk | @HJRW I think you mean Sierpinski carpet as opposed to Sierpinski gasket. (The latter term is a synonym for the Sierpinski triangle.) | |
Jul 6, 2013 at 2:37 | comment | added | Harry Baik | @YvesCornulier: Yes, I just meant the topological dimension of the boundary + 1. | |
Jul 5, 2013 at 9:21 | history | edited | HJRW | CC BY-SA 3.0 |
Added references
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Jul 5, 2013 at 9:02 | comment | added | HJRW | @Yves, in this case, the natural definition of dimension for a hyperbolic group $\Gamma$ is the topological dimension of the boundary +1. As you say, there are other relevant definitions. It's unknown which hyperbolic groups have boundary of conformal dimension 1, for instance. | |
Jul 5, 2013 at 6:42 | comment | added | YCor | @harry: what do you mean by "3-dimensional hyperbolic group"? there are many inequivalent notions of dimension. | |
Jul 5, 2013 at 2:36 | comment | added | Harry Baik | Thanks a lot, Henry. This is very interesting. I wonder if there is any partial result in classification of boundaries of 3-dimensional hyperbolic groups. | |
Jul 5, 2013 at 2:25 | vote | accept | Harry Baik | ||
Jul 4, 2013 at 21:42 | history | answered | HJRW | CC BY-SA 3.0 |