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Bulletin of the London Mathematical Society Advance Access originally published online on July 4, 2009
Bulletin of the London Mathematical Society 2009 41(4):733-746; doi:10.1112/blms/bdp052
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© 2009 London Mathematical Society

A criterion of convergence in the augmented Teichmüller space

Gabriele Mondello

Imperial College of London
Department of Mathematics
South Kensington Campus
London
SW7 2AZ
United Kingdom

Received 21 May 2008. Revision received 25 November 2008.

We prove a criterion of convergence in the augmented Teichmüller space that can be phrased in terms of convergence of the hyperbolic metrics or of quasiconformal convergence away from the nodes.

2000 Mathematics Subject Classification 30G62, 32G15.


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