Geodesic
The Holomorphic Contractibility of two Generalized TeichmÜller Spaces
Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 109 .

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We show by simple explicit constructions that the Teichmüller spaces $T_0(\Delta)$ and $T_0(\Delta\smallsetminus\{0\})$ are holomorphically contractible. We also call attention to a useful criterion for a map between domains in complex Banach spaces to be holomorphic.
DOI : 10.2298/PIM0475109E
Classification : 30F60 46G20
Keywords: holomorphic contractibility 
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     author = {Clifford J. Earle},
     title = {The {Holomorphic} {Contractibility} of two {Generalized} {Teichm\"Uller} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {109 },
     publisher = {mathdoc},
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     year = {2004},
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Clifford J. Earle. The Holomorphic Contractibility of two Generalized TeichmÜller Spaces. Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 109 . doi : 10.2298/PIM0475109E. http://geodesic.mathdoc.fr/articles/10.2298/PIM0475109E/

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