Abstract
We study whether the basin of attraction of a sequence of auto- morphisms of C k is biholomorphic to C k . In particular we show that given any sequence of automorphisms with the same attracting flxed point, the basin is biholomorphic to C k if every map is iterated su-ciently many times. We also construct Fatou-Bieberbach domains in C 2 whose boundaries are 4- dimensional.
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