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The horofunction compactification of Teichm\"uller metric

Abstract

We show that the horofunction compactification of Teichm\"uller space with the Teichm\"uller metric is homeomorphic to the Gardiner-Masur compactification.Comment: Final version, the proof of Proposition 5.1 is improved. To appear in Handbook of Teichm\"uller Theory, Vol. 4, A. Papadopoulos (ed.), EMS publishing house, Z\"urich 201

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