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Timeline for The length is bounded

Current License: CC BY-SA 4.0

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Oct 29 at 18:43 history edited Pedro Lauridsen Ribeiro CC BY-SA 4.0
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Oct 29 at 14:16 history edited Adam CC BY-SA 4.0
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Oct 28 at 14:55 vote accept Adam
Oct 28 at 14:55 history undeleted Adam
Oct 21 at 19:42 history deleted Adam via Vote
Oct 21 at 18:23 answer added Moishe Kohan timeline score: 0
Oct 21 at 15:17 comment added Moishe Kohan First, ask yourself how a homeomorphism of $\Sigma$ acts on the Teichmuller space.
Oct 21 at 15:16 comment added Adam @MoisheKohan : could you please let me know why it is true trivially ?
Oct 21 at 15:15 comment added Moishe Kohan Are you sure you are using the correct codomain for your $f$? Because, as written, the answer is trivially positive. (Your map hits only finitely many mapping classes.)
Oct 21 at 15:09 history edited Adam CC BY-SA 4.0
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Oct 21 at 14:24 comment added Adam @AidanBackus : Thanks for your comment. Yes! You are right!
Oct 21 at 14:17 comment added Aidan Backus The Thurston metric generates the same topology as the usual topology on Teichmueller space, so while I might be misunderstanding the question, I think it is equivalent to: given $x_0$, under what minimal/generic conditions must a compact family of self-homeomorphisms of $\Sigma$ not map $x_0$ to itself?
Oct 21 at 13:50 history edited Adam CC BY-SA 4.0
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Oct 21 at 13:42 history edited Adam CC BY-SA 4.0
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Oct 21 at 13:35 history asked Adam CC BY-SA 4.0