Invariant Measures and the Equicontinuous Structure Relation 2: The Relative Case

摘要

A problem from topological dynamics is presented. Concepts of flow, homomorphisms, and almost periodic factors of homomorphisms are studied. A class of homomorphisms of minimal flows for which a relative regionally proximal relation is an equivalence relation is discussed. Properties of nontrivial homomorphisms which have almost periodic factor (weakly mixing and relatively invarying measures) are proved.