In this note, we generalise the concept of topo-isomorphic extensions and define finite topomorphic extensions as topological dynamical systems whose factor map to the maximal equicontinuous factor is measure-theoretically at most \(m\)-to-one for some \(m\in\mathbb{N}\). We further define multivariate versions of mean equicontinuity, complementing...

Multivariate mean equicontinuity for finite-to-one topomorphic extensions