We set up a general correspondence between algebraic properties of βℕ 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm216-3-4,
author = {Jian Li},
title = {Dynamical characterization of C-sets and its application},
journal = {Fundamenta Mathematicae},
volume = {219},
year = {2012},
pages = {259-286},
zbl = {1278.37022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm216-3-4}
}
Jian Li. Dynamical characterization of C-sets and its application. Fundamenta Mathematicae, Tome 219 (2012) pp. 259-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm216-3-4/