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More paracompact box products


Author: Judy Roitman
Journal: Proc. Amer. Math. Soc. 74 (1979), 171-176
MSC: Primary 54B10; Secondary 03E35, 54D20
DOI: https://doi.org/10.1090/S0002-9939-1979-0521893-2
MathSciNet review: 521893
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Abstract: We show that if there is no family of cardinality less than c which dominates $ ^\omega \omega $, then the box product of countably many compact first-countable spaces is paracompact; hence the countable box product of compact metrizable spaces is paracompact if $ {2^\omega } = {\omega _2}$. We also give classes of forcing extensions in which many box products are paracompact.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0521893-2
Article copyright: © Copyright 1979 American Mathematical Society

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