English

Dynamical characterization of C-sets and its application

Dynamical Systems 2012-02-23 v2 Combinatorics

Abstract

In this paper, we set up a general correspondence between the algebra properties of \bN\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.

Keywords

Cite

@article{arxiv.1110.5435,
  title  = {Dynamical characterization of C-sets and its application},
  author = {Jian Li},
  journal= {arXiv preprint arXiv:1110.5435},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T19:25:09.759Z