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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A non-metrizable space
whose countable power is $\sigma $-metrizable


Author: Gary Gruenhage
Journal: Proc. Amer. Math. Soc. 125 (1997), 1881-1883
MSC (1991): Primary 54E35, 54B10, 54B05
MathSciNet review: 1415587
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Abstract: We answer a question of A.V. Arhangel'skii by finding a non-metrizable space $X$ such that $X^{\omega }$ is the countable union of metrizable spaces.


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Additional Information

Gary Gruenhage
Affiliation: Department of Mathematics, Auburn University, Alabama 36849
Email: garyg@mail.auburn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04058-6
PII: S 0002-9939(97)04058-6
Received by editor(s): March 6, 1996
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1997 American Mathematical Society