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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The box product of countably many copies of the rationals is consistently paracompact


Author: L. Brian Lawrence
Journal: Trans. Amer. Math. Soc. 309 (1988), 787-796
MSC: Primary 54D18; Secondary 54A35, 54B10, 54B20
DOI: https://doi.org/10.1090/S0002-9947-1988-0961613-0
MathSciNet review: 961613
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Abstract: By proving the theorem stated in the title, we show that local compactness in the factor spaces is not necessary for paracompactness in the box product.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1988-0961613-0
Keywords: Paracompactness, box product, continuum hypothesis, Martin's axiom
Article copyright: © Copyright 1988 American Mathematical Society