Dynamical characterization of C-sets and its application

Abstract

In this paper, we set up a general correspondence between the algebra properties of $\bN$ and the sets defined by dynamical properties. In particular, we obtain a dynamical characterization of C-sets, where C-sets are the sets satisfying the strong Central Sets Theorem. As an application, we show that Rado systems are solvable in C-sets.

30 pages, mirror changes, to appear in Fund. Math

References in corpus (1)

• Transitive points via Furstenberg family

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