论文标题
在Cohen和随机代数上的Ultrafters的组合学
Combinatorics of ultrafilters on Cohen and random algebras
论文作者
论文摘要
我们研究了Tukey降低性框架中布尔代数的超滤器的结构。特别是，本文提供了几种构建不是Tukey Mavimal的超滤器的技术。此外，我们将此分析与布尔代数的基本不变，超级滤数，并且证明了其在科恩和随机代数上可能值的一致性结果。
We investigate the structure of ultrafilters on Boolean algebras in the framework of Tukey reducibility. In particular, this paper provides several techniques to construct ultrafilters which are not Tukey maximal. Furthermore, we connect this analysis with a cardinal invariant of Boolean algebras, the ultrafilter number, and prove consistency results concerning its possible values on Cohen and random algebras.
