Dynamical Embedding in Cubical Shifts & the Topological Rokhlin and Small Boundary Properties

Yonatan Gutman

According to a conjecture of Lindenstrauss and Tsukamoto, a topological dynamical system $(X,T)$ is embeddable in the $d$-cubical shift $(([0,1{]}^d{)}^{\mathbb{Z}},shift)$ if both…