MAD families with strong combinatorial properties
Volume 193 / 2007
Fundamenta Mathematicae 193 (2007), 7-21
MSC: Primary 03E50; Secondary 03E05, 03E15, 03E40.
DOI: 10.4064/fm193-1-2
Abstract
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 $\sigma $-set. The second is that under CH, there is a MAD family concentrated on a countable subset. These are proved in the present paper.
