Dynamical characterization of C-sets and its application

Jian Li

Fundamenta Mathematicae (2012)

  • Volume: 216, Issue: 3, page 259-286
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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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 -

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