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When is Ck(X) Baire?
by
Gary Gruenhage
Auburn University
Coauthors: Daniel K. Ma
It is an unsolved problem to characterize in terms of X when the space Ck(X) of continuous real-valued functions on X with the compact open topology is a Baire space. We define and study a property called the moving off property, and show that for a q-space X (e.g., for X locally compact or first-countable), Ck(X) is Baire if an only if X has the moving off property.
Date received: January 31, 1996
Copyright © 1996 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 # caaa-31.