Dynamical characterization of C-sets and its application

Volume 216 / 2012

Jian Li Fundamenta Mathematicae 216 (2012), 259-286 MSC: Primary 37B20; Secondary 37B05, 05D10. DOI: 10.4064/fm216-3-4


We set up a general correspondence between algebraic properties of $\beta\mathbb N$ and sets defined by dynamical properties. In particular, we obtain a dynamical characterization of C-sets, i.e., sets satisfying the strong Central Sets Theorem. As an application, we show that Rado systems are solvable in C-sets.


  • Jian LiDepartment of Mathematics
    University of Science and Technology of China
    Hefei, Anhui, 230026, P.R. China

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