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The equicontinuous structure relation for ergodic abelian transformation groups

The equicontinuous structure relation for ergodic abelian transformation groups

IntroductionLet (, T) be a transformation group with compact, metric phase space, ), and abelian phase group, T. (, T) is ergodic if every proper, closed, T- invariant subset is nowhere dense.By [7] this is equivalent to requiring the set of points, X, whose orbits are dense in , to …