Topological expansive Lorenz maps with a hole at critical point

Yun Sun, Bing Li, Yiming Ding

Let $f$ be an expansive Lorenz map and $c$ be the critical point. The survivor set is denoted as $S_f(H):=\{x\in [0,1]:f^n(x)\notin H,\forall n\ge 0\}$, where $H$ is a open s…