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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.
Jian Li. "Dynamical characterization of C-sets and its application." Fundamenta Mathematicae 216.3 (2012): 259-286. <http://eudml.org/doc/282964>.
@article{JianLi2012, abstract = {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.}, author = {Jian Li}, journal = {Fundamenta Mathematicae}, keywords = {central set; C-set; Rado system}, language = {eng}, number = {3}, pages = {259-286}, title = {Dynamical characterization of C-sets and its application}, url = {http://eudml.org/doc/282964}, volume = {216}, year = {2012}, }
TY - JOUR AU - Jian Li TI - Dynamical characterization of C-sets and its application JO - Fundamenta Mathematicae PY - 2012 VL - 216 IS - 3 SP - 259 EP - 286 AB - 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. LA - eng KW - central set; C-set; Rado system UR - http://eudml.org/doc/282964 ER -