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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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Continuous Realcompact Images
by
William Fleissner
University of Kansas

The following question seems near to solution, but there has been no progress in over ten years.

If every continuous Tychonoff image of X is realcompact, must X be Lindelöf?

Yes, if L(X) is at most continuum, or X is countably tight, or X maps continuously onto X2.

Examples suggesting why the question is plausible, and sketches of the proofs of some results will be presented.

Date received: February 25, 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-72.