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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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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 showing in ZFC that there is a MAD family of functions in ww which is also maximal with respect to infinite partial functions. It is easy to see that CH or MA is sufficient to construct such a family. Van Douwen asked if such a family always exists. The problem was mentioned by A. Miller in his 1993 problem list "Some interesting problems" (Problem 4.2).

Date received: February 7, 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 # cawk-39.