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The horofunction compactification of the arc metric on Teichmuller space

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 نشر من قبل Athanase Papadopoulos
 تاريخ النشر 2014
  مجال البحث
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The arc metric is an asymmetric metric on the Teichm{u}ller space T(S) of a surface S with nonempty boundary. In this paper we study the relation between Thurstons compactification and the horofunction compactification of T(S) endowed with the arc metric. We prove that there is a natural homeomorphism between the two compactifications.



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