论文标题
超滤波器的综合过滤器，统计措施和代表性
Conglomerated filters, statistical measures, and representations by ultrafilters
论文作者
论文摘要
我们以一种纯粹组合的方式证明，使用新的砾岩过滤器概念表明，单个统计措施不能生成Erdös-ulam过滤器或可总结过滤器，因此不能将其表示为Ulrafilters可数家族的交汇处。研究了极限及其交叉点的最小家庭，并讨论了几个开放问题。
Using a new concept of conglomerated filter we demonstrate in a purely combinatorial way that none of Erdös-Ulam filters or summable filters can be generated by a single statistical measure and consequently they cannot be represented as intersections of countable families of ulrafilters. Minimal families of ultrafilters and their intersections are studied and several open questions are discussed.
