On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Volume 215 / 2011
Fundamenta Mathematicae 215 (2011), 177-202
MSC: Primary 37F10; Secondary 30D30.
DOI: 10.4064/fm215-2-5
Abstract
Following the attracting and preperiodic cases, in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.
