论文标题

拉姆西的财产和更高的疯狂家庭

The Ramsey property and higher dimensional mad families

论文作者

Schrittesser, David, Törnquist, Asger

论文摘要

我们证明,根据拉姆齐(Ramsey)规律性的原则,相对于经常迭代的Fréchet理想,几乎没有无限的最大家庭。本文的结果是由作者在美国国家科学院的会议录中宣布的。

We prove that under a principle of Ramsey regularity there are no infinite maximal almost disjoint families with respect to the transfinitely iterated Fréchet ideals. The results of the present paper were announced by the authors in the Proceedings of the National Academy of Sciences of the U.S.A.

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