Displaying similar documents to “Intersection properties of partitions of a cardinal”

MAD families with strong combinatorial properties

Jörg Brendle, Greg Piper (2007)

Fundamenta Mathematicae

Similarity:

In his paper in Fund. Math. 178 (2003), Miller presented two conjectures regarding MAD families. The first is that CH implies the existence of a MAD family that is also a σ-set. The second is that under CH, there is a MAD family concentrated on a countable subset. These are proved in the present paper.