The Ramsey property and higher dimensional mad families

2020/03/24 by David Schrittesser, Schrittesser, David, Asger Törnquist +1 · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #Limits and Structures in Graph Theory #Computability, Logic, AI Algorithms

paper · pdf · doi:10.48550/arxiv.2003.10944

Abstract

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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