The product of a Baire space with a hereditarily Baire metric space is Baire
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- by Warren B. Moors PDF
- Proc. Amer. Math. Soc. 134 (2006), 2161-2163 Request permission
Abstract:
In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and R. Pol.References
- J. Chaber and R. Pol, On hereditarily Baire spaces, $\sigma$-fragmentability of mappings and Namioka property, Topology Appl. 151 (2005), no. 1-3, 132–143. MR 2139747, DOI 10.1016/j.topol.2004.04.011
- W. G. Fleissner and K. Kunen, Barely Baire spaces, Fund. Math. 101 (1978), no. 3, 229–240. MR 521125, DOI 10.4064/fm-101-3-229-240
- Jean Saint-Raymond, Jeux topologiques et espaces de Namioka, Proc. Amer. Math. Soc. 87 (1983), no. 3, 499–504 (French, with English summary). MR 684646, DOI 10.1090/S0002-9939-1983-0684646-1
Additional Information
- Warren B. Moors
- Affiliation: Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand
- Email: moors@math.auckland.ac.nz
- Received by editor(s): February 18, 2005
- Published electronically: January 17, 2006
- Additional Notes: The author was supported by the Marsden Fund research grant, UOA0422, administered by the Royal Society of New Zealand
- Communicated by: Jonathan M. Borwein
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2161-2163
- MSC (2000): Primary 54B10, 54C35; Secondary 54E52
- DOI: https://doi.org/10.1090/S0002-9939-06-08389-4
- MathSciNet review: 2215788