Resumen de Buried Julia Components and Julia Sets

Youming Wang, Guoping Zhan, Liangwen Liao

• Let f be a hyperbolic rational map with degree d≥2 whose Julia set is connected. We give an elementary approach to prove that there exists a rational map g with degree ≤7d−2 such that g contains a buried Julia component which is homeomorphic to the Julia set of f.