NSFCNational Natural Science Foundation of China (NSFC) [11871208, 11601481]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2021JJ30308, 2018JJ2159]
机构署名：
本校为第一且通讯机构
院系归属：
理学院
摘要：
Let f be a hyperbolic rational map with degree
$$d\ge 2$$
whose Julia set is connected. We give an elementary approach to prove that there exists a rational map g with degree
$$\le 7d-2$$
such that g contains a buried Julia component which is homeomorphic to the Julia set of f.
