BooksirmaCollected Volumepp. 355–374

The horofunction compactification of the Teichmüller metric

  • Lixin Liu

    Sun Yat-sen (Zhongshan) University, Guangzhou, Guangdong, China

  • Weixu Su

    Fudan University, Shanghai, China
The horofunction compactification of the Teichmüller metric cover

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Abstract

We show that the horofunction compactification of Teichmüller space, endowed with the Teichmüller metric, is homeomorphic to the Gardiner–Masur compactification.