2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63735We consider left shift transform S on the space $X=Σ^{\mathbb Z}$ of two-sided sequences over a compact alphabet $Σ$. We give an important and sufficient condition on $x \in X$ which guarantees the restriction of S onto orbit closure of x to be a Toeplitz flow.15 pages in AMS-LaTeXDynamical Systems37B10, 37B20One property of trajectories of Toeplitz flowstext