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Transactions of the American Mathematical Society

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

 

 

Paracompactness of box products of compact spaces


Author: Kenneth Kunen
Journal: Trans. Amer. Math. Soc. 240 (1978), 307-316
MSC: Primary 54B10; Secondary 02K25, 54D20
MathSciNet review: 0514975
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Abstract: We consider box products of countably many compact Hausdorff spaces. Under the continuum hypothesis, the product is paracompact iff its Lindelöf degree is no more than the continuum; in particular, the product is paracompact if each space has weight continuum or less, or if each space is dispersed. Some partial results are proved under Martin's axiom.


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DOI: https://doi.org/10.1090/S0002-9947-1978-0514975-6
Keywords: Box product, paracompact space, dispersed space, Lindelöf degree
Article copyright: © Copyright 1978 American Mathematical Society