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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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More Barely Baire spaces
by
Elliott Pearl
York University

Zsilinszky asked Watson, Ïs there a space X such that X2 is Baire and X has a dense Baire subset Y such that X×Y is not Baire?" An affirmative answer is found by modifying an example from W.G. Fleissner and K. Kunen, Barely Baire spaces, Fund. Math. 101 (1978) pp.229-240. The question can be generalized to ask that Y dense in X has certain Baire products Xn ×Ym. The construction generalizes to yield a characterization of such questions that can be satisfied.

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-21.