标题： 序关系原理和更高阶的依赖选择 显示英文标题

标题： The Ordering Principle and Higher Dependent Choice

摘要： 我们为任何正则不可数基数$\kappa$提供一个新的论证，证明在选择公理失败的情况下，Pincus 关于$\ZF$与更高依赖选择公理$\DC_{<\kappa}$和排序原理的一致性结果。 我们还推广了他的方法，在更大一类模型中获得了这些一致性结果。 显示英文摘要

摘要： We provide, for any regular uncountable cardinal $\kappa$, a new argument for Pincus' result on the consistency of $\ZF$ with the higher dependent choice principle $\DC_{<\kappa}$ and the ordering principle in the presence of a failure of the axiom of choice. We also generalise his methods and obtain these consistency results in a larger class of models.