Abstract

In this article we prove that a minimal topological dynamical system (X, T) with bounded topological sequence entropy has the following structure.Here π is the maximal equicontinuous factor of (X, T), σ′ and τ′ are proximal extensions and π′ is a finite-to-one equicontinuous extension. In order to prove this result we consider sequence entropy tuples and give their complete relation with regionally proximal tuples. © 2007 London Mathematical Society.