There is a Van Douwen MAD family

Details There is a Van Douwen MAD family There is a Van Douwen MAD family

2007-11-28

arxiv.org/abs/0711.4400v2

Mathematics

Logic

Scientific paper

We prove in ZFC that there is a MAD family of functions in omega^omega which is also maximal with respect to infinite partial functions. This solves a 20 year old question of Van Douwen. We also strengthen a result of J. Steprans stating that strongly MAD families of functions cannot be analytic. We show that analytic MAD families of functions, if they exist, must satisfy some strong constraints.

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