{ "id": "0907.5460", "version": "v2", "published": "2009-07-31T03:24:01.000Z", "updated": "2010-09-29T16:39:10.000Z", "title": "Triviality of fibers for Misiurewicz parameters in the exponential family", "authors": [ "Anna M. Benini" ], "categories": [ "math.DS" ], "abstract": "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.", "revisions": [ { "version": "v2", "updated": "2010-09-29T16:39:10.000Z" } ], "analyses": { "subjects": [ "37F10", "37F20", "37F45" ], "keywords": [ "misiurewicz parameters", "exponential family", "triviality", "holomorphic maps", "postcritically finite parameters" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.5460B" } } }