The uniform box product
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- by Jocelyn R. Bell PDF
- Proc. Amer. Math. Soc. 142 (2014), 2161-2171 Request permission
Abstract:
The uniform box product problem is a weakening of the well-known box product problem, which asks whether box products of certain compact spaces are normal or even paracompact. Using uniformities, a new topology on products is defined between the box and Tychonov topologies. This new product, called the uniform box product, is an extension of the sup metric to powers of compact spaces. We investigate a certain non-metrizable compact space whose uniform box product, in ZFC, is normal, countably paracompact, and collectionwise Hausdorff.References
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Additional Information
- Jocelyn R. Bell
- Affiliation: Department of Mathematical Sciences, United States Military Academy, West Point, New York 10996
- Email: bell.jocelyn@gmail.com
- Received by editor(s): January 26, 2012
- Received by editor(s) in revised form: June 26, 2012
- Published electronically: February 21, 2014
- Additional Notes: This paper constitutes part of the author’s Ph.D. thesis, completed under Scott W. Williams at SUNY at Buffalo.
- Communicated by: Daniel Ruberman
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 2161-2171
- MSC (2010): Primary 54D15; Secondary 54D20, 54B10, 54E15
- DOI: https://doi.org/10.1090/S0002-9939-2014-11910-1
- MathSciNet review: 3182033