Dynamical characterization of C-sets and its application
Volume 216 / 2012
Fundamenta Mathematicae 216 (2012), 259-286
MSC: Primary 37B20; Secondary 37B05, 05D10.
DOI: 10.4064/fm216-3-4
Abstract
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.
