Dynamical characterization of C-sets and its application

• Autorzy: Jian Li
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 05D10: Ramsey theory
• 37B20: Notions of recurrence
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 216
• Numer: 3
• Strony: 259-286

Daty

wydano

2012

Twórcy

autor

Jian Li

• Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China

Identyfikatory

DOI

10.4064/fm216-3-4