机构:
Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, JapanTokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan
Soma, Teruhiko
[1
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机构:
[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan
In this paper, we present the new proof of the Length Upper Bounds Theorem on curves in surfaces, which is crucial in the proof of Ending Lamination Conjecture by Minsky et al. Our proof is based on arguments in Bowditch [Bow2] but we use geometric limit arguments fully.