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The product of a Baire space with a hereditarily Baire metric space is Baire
Author:
Warren B. Moors
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2161-2163
MSC (2000):
Primary 54B10, 54C35; Secondary 54E52
Posted:
January 17, 2006
MathSciNet review:
2215788
Full-text PDF Free Access
Abstract |
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Additional Information
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,
 -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:
http://dx.doi.org/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
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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