快速超滤子和Q点与van der Waerden理想的关系
The relation of rapid ultrafilters and Q-points to van der Waerden ideal
摘要:
指出了快速超滤子与Q点的一个区别:快速超滤子与van der Waerden理想可以有空交,而每个Q点与van der Waerden理想都有非空交.在Martin可数偏序集公理的基础上,我们还构造了一个非Q点的W-超滤子。
英文摘要:
We point out one of the differences between rapid ultrafilters and Q-points: Rapid ultrafilters may have empty intersection with van der Waerden ideal, whereas every Q-point has a non-empty intersection with van der Waerden ideal. Assuming Martin's axiom for countable posets we also construct a W-ultrafilter which is not a Q-point.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。