In this note,it is shown that if a rational function f of degree≥2 has a nonempty set of buried points,then for a generic choice of the point z in the Julia set, z is a buried point,and if the Julia set is...In this note,it is shown that if a rational function f of degree≥2 has a nonempty set of buried points,then for a generic choice of the point z in the Julia set, z is a buried point,and if the Julia set is disconnected,it has uncountably many buried components.展开更多
基金a UGC grantof Hong KongProject No.HKUST60 70 / 98P
文摘In this note,it is shown that if a rational function f of degree≥2 has a nonempty set of buried points,then for a generic choice of the point z in the Julia set, z is a buried point,and if the Julia set is disconnected,it has uncountably many buried components.