Sakaé Fuchino, Stefan Geschke and Lajos Soukup
Given a family of pairwise almost disjoint (ad) sets on a countable set , we study families of maximal almost disjoint (mad) sets extending .
We define to be the minimal possible cardinality of for such and . We show that all infinite cardinal less than or equal to the continuum can be represented as for some ad and that the inequalities and are both consistent.
We also give a several constructions of mad families with some additional properties.
Key words and phrases:almost disjoint
2000 Mathematics Subject Classification: 03E35Downloading the paper