Products with linear and countable type factors
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- by S. Purisch and M. E. Rudin PDF
- Proc. Amer. Math. Soc. 125 (1997), 1823-1830 Request permission
Abstract:
The basic theorem presented shows that the product of a linearly ordered space and a countable (regular) space is normal. We prove that the countable space can be replaced by any of a rather large class of countably tight spaces. Examples are given to prove that monotone normality cannot replace linearly ordered in the base theorem. However, it is shown that the product of a monotonically normal space and a monotonically normal countable space is normal.References
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Additional Information
- S. Purisch
- Affiliation: Department of Mathematics, Barry University, Miami Shores, Florida 33161
- M. E. Rudin
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Received by editor(s): August 14, 1995
- Communicated by: Franklin D. Tall
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1823-1830
- MSC (1991): Primary 54D18, 54B10, 54D15, 54A25
- DOI: https://doi.org/10.1090/S0002-9939-97-04026-4
- MathSciNet review: 1415363