We consider the family of holomorphic maps $e^z+c$ and show that fibers of postsingularly finite parameters are trivial. This can be considered as the first and simplest class of non-escaping parameters for which we can obtain results about triviality of fibers in the exponential family.

Triviality of fibers for Misiurewicz parameters in the exponential family / Benini, A. - In: CONFORMAL GEOMETRY AND DYNAMICS. - ISSN 1088-4173. - 15(2011), pp. 133-151. [10.1090/S1088-4173-2011-00227-X]

Triviality of fibers for Misiurewicz parameters in the exponential family

Benini A
2011

Abstract

We consider the family of holomorphic maps $e^z+c$ and show that fibers of postsingularly finite parameters are trivial. This can be considered as the first and simplest class of non-escaping parameters for which we can obtain results about triviality of fibers in the exponential family.
Triviality of fibers for Misiurewicz parameters in the exponential family / Benini, A. - In: CONFORMAL GEOMETRY AND DYNAMICS. - ISSN 1088-4173. - 15(2011), pp. 133-151. [10.1090/S1088-4173-2011-00227-X]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2867091
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