Dynamical characterization of C-sets and its application

Details Dynamical characterization of C-sets and its application Dynamical characterization of C-sets and its application

2011-10-25

arxiv.org/abs/1110.5435v2

Fund. Math. 216 (2012), 259-286

Mathematics

Dynamical Systems

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

Scientific paper

10.4064/fm216-3-4

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.

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