Timeline for Divergence functions in hyperbolic groups
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 7 at 23:25 | comment | added | Strichcoder | Sorry, I don't see how the two are related. What is the quantity you mention? maybe $\inf \{ length( \text{path} ) : \text{path connects two points outside some ball } \}$? Which definition uses the inf, which uses the sup? Is there an implication between the two? What is the meaning of the condition $e(0) < d(\gamma(R), \gamma'(R))$? Where does the definition in Bridson-Haefliger come from? | |
| Jun 5 at 8:01 | comment | added | AGenevois | Indeed, the divergence is different in Bridson and Haefliger's book. One is a sup but the other is an inf (of the same quantity). | |
| Jun 4 at 10:26 | comment | added | Strichcoder | Thank you. Is it possible that there are more than one definitions of divergence around? Bridson-Haefliger (III.H.1.26) prove that if a superlinear divergence function exists, then the group has to be hyperbolic. In your answer you say this is not so. How are these notions of divergence related? | |
| Dec 14, 2023 at 21:20 | vote | accept | Strichcoder | ||
| Dec 12, 2023 at 8:57 | history | edited | AGenevois | CC BY-SA 4.0 |
added 77 characters in body
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| Dec 12, 2023 at 6:48 | history | answered | AGenevois | CC BY-SA 4.0 |