Lowering topological entropy over subsets

Wen Huang, Xiangdong Ye, Guohua Zhang

Let $(X,T)$ be a topological dynamical system (TDS), and $h(T,K)$ the topological entropy of a subset $K$ of $X$. $(X,T)$ is {\it lowerable} if for each $0\le h\le h(T,X)$ th…