This paper shows that a dynamical system is mean equicontinuous (a relaxed form of isometry) if and only if it's topologically isomorphic to its most regular version. It also connects mean equicontinuity to properties of the system's product and, in certain cases, to its spectral properties.

None identified

This paper presents a solid theoretical contribution to the field of dynamical systems by establishing the equivalence of mean equicontinuity and topo-isomorphy to the maximal equicontinuous factor. The work generalizes previous results and provides new characterizations. While the focus is theoretical and lacks empirical validation, the rigorous mathematical treatment and potential implications for related fields like aperiodic order justify a strong rating.