Parametrizing the abstract Ellentuck theorem
逻辑
2010-08-31 v1
摘要
We give a parametrization with perfect sets of the abstract Ellentuck theorem. The main tool for achieving this goal is a sort of parametrization of an abstract version of the Nash-Williams theorem. As corollaries, we obtain some known classical results like the parametrized version of the Galvin-Prikry theorem due to Miller and Todorcevic, and the parametrized version of Ellentuck's theorem due to Pawlikowski. Also, we obtain parametized vesions of nonclassical results such as Milliken's theorem.
引用
@article{arxiv.math/0510477,
title = {Parametrizing the abstract Ellentuck theorem},
author = {Jose Mijares},
journal= {arXiv preprint arXiv:math/0510477},
year = {2010}
}
备注
16 pages. Submitted to Elsevier's Discrete Mathematics