The horofunction compactification of Teichmüller spaces of surfaces with boundary
The horofunction compactification of Teichmüller spaces of surfaces with boundary
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有边界曲面Teichmüller空间的星函数紧化
DOI:
10.1016/j.topol.2016.05.011
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发表时间:
2016-08
期刊:
影响因子:
--
通讯作者:
Su W.
中科院分区:
文献类型:
--
作者:
Aless;rini D.;Liu L.刘立新);Papadppoulos A.;Su W.
The arc metric is an asymmetric metric on the Teichmüller space T (S) of a surface S with nonempty boundary. It is the analogue of Thurston's metric on the Teichmüller space of a surface without boundary. In this paper we study the relation between Thurston's 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. This generalizes a result of Walsh [20] that concerns Thurston's metric.
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DOI:
--
发表时间:
1979
期刊:
--
影响因子:
--
作者:
W. Thurston
通讯作者:
W. Thurston
DOI:
10.1007/978-0-8176-4992-0
发表时间:
1992
期刊:
--
影响因子:
--
作者:
P. Buser
通讯作者:
P. Buser
DOI:
10.5186/aasfm.2010.3515
发表时间:
2009-03
期刊:
arXiv: Geometric Topology
影响因子:
--
作者:
Li-Xing Liu;A. Papadopoulos;W. Su;G. Th'eret
通讯作者:
Li-Xing Liu;A. Papadopoulos;W. Su;G. Th'eret
影响因子:
3.1
作者:
J. Danciger;François Guéritaud;Fanny Kassel
通讯作者:
J. Danciger;François Guéritaud;Fanny Kassel
影响因子:
0.5
作者:
A. Papadopoulos;G. Théret
通讯作者:
A. Papadopoulos;G. Théret