We introduce a notion of coded equivalence in one-sided topological Markov shifts. The notion is inspired by coding theory. One-sided topological conjugacy implies coded equivalence. We will show that coded equivalence implies continuous orbit equivalence of one-sided topological Markov shifts.

中文翻译：

---

单面拓扑马尔可夫位移的编码等价

我们在单边拓扑马尔可夫移位中引入了编码等价的概念。这个概念是受编码理论启发的。单方面的拓扑共轭意味着编码的对等。我们将证明编码等价意味着单侧拓扑马尔可夫位移的连续轨道等价。