EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 75(89), pp. 109–117 (2004)

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THE HOLOMORPHIC CONTRACTIBILITY OF TWO GENERALIZED TEICHMÜLLER SPACES

Clifford J. Earle

Department of Mathematics, Cornell University, Ithaca, NY 14853, USA

Abstract: 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.

Classification (MSC2000): 30F60; 46G20

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Electronic fulltext finalized on: 27 Oct 2004. This page was last modified: 22 Feb 2005.

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