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Boise Extravaganza in Set Theory
March 28-30, 2008
Boise State University
Boise, Idaho, USA

Organizers
Liljana Babinkostova, Stefan Geschke and Marion Scheepers

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Solution to a Problem of Van Douwen
by
Dilip Raghavan
UW--Madison

We answer a long standing question of Van Douwen by proving in ZFC that there is a MAD family of functions in {omega}^{omega} which is also maximal with respect to infinite partial functions. It is easy to construct such a family under CH or MA. Van Douwen asked if the construction could be carried out just in ZFC. The problem is mentioned in Arnie Miller's 1993 problem list (Problem 4.2)

Date received: March 22, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawg-13.