Timeline for faraway curves in surface
Current License: CC BY-SA 3.0
13 events
when toggle format | what | by | license | comment | |
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Nov 24, 2012 at 0:33 | vote | accept | yanqing | ||
Nov 24, 2012 at 0:33 | vote | accept | yanqing | ||
Nov 24, 2012 at 0:33 | |||||
Nov 20, 2012 at 23:22 | answer | added | Sam Nead | timeline score: 2 | |
Nov 20, 2012 at 23:18 | history | edited | Sam Nead | CC BY-SA 3.0 |
Fixed definitions, grammar, latex
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Nov 5, 2012 at 22:50 | answer | added | staylor | timeline score: 4 | |
Nov 5, 2012 at 2:37 | comment | added | Misha | What is $c_\eta$? | |
Nov 4, 2012 at 23:38 | history | edited | yanqing | CC BY-SA 3.0 |
added 16 characters in body
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Nov 4, 2012 at 23:37 | comment | added | yanqing | @Lee Mosher, you are right. I just correct it. | |
Nov 4, 2012 at 23:34 | comment | added | yanqing | @Misha, $Y$ is defined to be a collection of essential closed curves. I want to write it as a collection, but I don't know how to do it. And the number $N$ depends only on the surface $S$. | |
Nov 4, 2012 at 17:10 | comment | added | Lee Mosher | To correct your reference, the theorem equating the Gromov boundary of the curve complex to the space of ``ending laminations'' is due not to Hamenstadt but to Klarreich www.ericaklarreich.com/page15.html | |
Nov 4, 2012 at 14:52 | comment | added | Misha | Actually, you do not even need the space to be geodesic for this to hold, although the curve complex is geodesic. | |
Nov 4, 2012 at 14:06 | comment | added | Misha | What do you mean by "$Y=c_\eta, \eta\in B$"? What is $c_eta$? Do you mean that $c_\eta$ is a sequence of scc's $c_{\eta,n}$ representing the ideal point $\eta$? Then the answer is obviously yes: $$ \lim_{n\to\infty} d(c_{\eta,n}, c_{\zeta,n})=\infty, $$ and it holds for any $\delta$-hyperbolic geodesic space, simply by the definition of Gromov boundary. | |
Nov 4, 2012 at 13:24 | history | asked | yanqing | CC BY-SA 3.0 |