We prove several topological and dynamical properties of the boundary of a hierarchically hyperbolic group are independent of the specific hierarchically hyperbolic structure. This is accomplished by proving that the boundary is invariant under a “maximization” procedure introduced by the first two authors and Durham.

中文翻译：

---

分级双曲边界的结构不变性质

我们证明了层次双曲群边界的几个拓扑和动力学性质独立于特定的层次双曲结构。这是通过证明边界在前两位作者和达勒姆引入的“最大化”过程下不变来实现的。