The regionally proximal relation

Joseph Auslander, David B. Ellis, Robert Ellis
1995 Transactions of the American Mathematical Society  
Sufficient conditions for the regionally proximal relation Q(X) of a minimal flow to be an equivalence relation are obtained in terms of the group S/(X) of the flow and various groups which depend only on the acting group T. It is easily checked that Q(X) is symmetric, closed, and T-invariant. Moreover Q(X) is trivial if and only if the flow (X, T) is equicontinuous.
doi:10.1090/s0002-9947-1995-1285970-7 fatcat:7xhxmew5lvewvchet4wq5fpan4