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An answer to Furstenberg’s problem on topological disjointness

An answer to Furstenberg’s problem on topological disjointness

In this paper we give an answer to Furstenberg’s problem on topological disjointness. Namely, we show that a transitive system $(X,T)$ is disjoint from all minimal systems if and only if $(X,T)$ is weakly mixing and there is some countable dense subset $D$ of $X$ such that for any minimal …