arXiv:0907.5460 Abstract | arXiv Analytics

arXiv:0907.5460 [math.DS]Abstract References Reviews Resources

Triviality of fibers for Misiurewicz parameters in the exponential family

Published 2009-07-31, updated 2010-09-29Version 2

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

Categories: math.DS

Subjects: 37F10, 37F20, 37F45

Keywords: misiurewicz parameters, exponential family, triviality, holomorphic maps, postcritically finite parameters

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