Dynamical characterization of C-sets and its application

Jian Li

Published 2011-10-25, updated 2012-01-10Version 2

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.