论文标题
鲍尔彩色封闭图和用均匀树的强迫
Borel chromatic numbers of closed graphs and forcing with uniform trees
论文作者
论文摘要
在这项工作中，我们继续由Geschke发起的传统，2011年将无数的borel色图作为连续体的主要不变性。我们表明，各种无数的borel彩色封闭图可以始终如一，并且一致地等于连续体。这是使用典型的强迫概念的参数完成的。
In this work, we continue the tradition initiated by Geschke, 2011 of viewing the uncountable Borel chromatic number of analytic graphs as cardinal invariants of the continuum. We show that various uncountable Borel chromatic numbers of closed graphs can be consistently different, as well as consistently equal to the continuum. This is done using arguments that are typical to Axiom A forcing notions.
