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Jul 23, 2018 at 14:29 history edited HJRW CC BY-SA 4.0
Minor edit.
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".
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
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