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MAD families with strong combinatorial properties

Jörg BrendleGreg Piper — 2007

Fundamenta Mathematicae

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.

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