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The product of a Baire space with a hereditarily Baire metric space is Baire

Author(s): Warren B. Moors
Journal: Proc. Amer. Math. Soc. 134 (2006), 2161-2163.
MSC (2000): Primary 54B10, 54C35; Secondary 54E52
Posted: January 17, 2006
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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:

1.: J. Chaber, R. Pol, On hereditarily Baire spaces, $\sigma$ -fragmentability of mappings and Namioka property, Topology Appl. 151 (2005), 132-143. MR 2139747
2.: W. G. Fleissner, K. Kunen, Barely Baire spaces, Fund. Math. 101 (1978), 229-240. MR 0521125 (80f:54009)
3.: J. Saint Raymond, Jeux topologiques et espaces de Namioka, Proc. Amer. Math. Soc. 87 (1983), 499-504. MR 0684646 (83m:54060)

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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

DOI: 10.1090/S0002-9939-06-08389-4
PII: S 0002-9939(06)08389-4
Keywords: Baire space, hereditarily Baire space, product space.
Received by editor(s): February 18, 2005
Posted: 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 of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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