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Timeline for faraway curves in surface

Current License: CC BY-SA 3.0

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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
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
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