Conditions are given which imply that analytic iterated function systems (IFSs) in the complex plane C have uniformly perfect attractor sets. In particular, it is shown that the attractor set of a finitely generated conformal IFS is uniformly perfect when it contains two or more points. Also, an example is given of a finitely generated analytic attractor set which is not uniformly perfect. [References: 11]
展开▼
