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Organizers |
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.