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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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Normality of Products I
by
S. Purisch
Barry University
Coauthors: Peter Nyikos (Barry University), M. E. Rudin (Univ. of Wisconsin)

A GO space is a space with a linear order that can be embedded by an order-preserving map into a linearly ordered space. It is shown that if X is a GO space and Y is countable and regular, then X ×Y is normal. The result still holds if instead of Y being countable it is countably tight, \sigma-locally-compact and paracompact. These results do not extend to X being monotonically normal unless Y is.

Date received: April 12, 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 # caaf-66.