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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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On Normal, Screenable Spaces
by
Zoltan T. Balogh
Miami University

Screenability (the property that every open cover has a sigma-disjoint open refinement) was introduced and studied in R.H.Bing's 1951 paper on metrization. An interesting question from that era, first published in a 1955 paper of K. Nagami, asks whether normality and screenability together are equivalent to paracompactness.

The problem was restated as Classic Problem III in the problem section of Topology Proceedings in 1976. In 1983, M.E.Rudin constructed a normal, screenable, nonparacompact space from V=L.

We are going to present the following result.

Theorem 1. There is a normal, screenable, nonparacompact space in ZFC.

Date received: February 1, 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-54.