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Paracompactness of Box Products of Compact Spaces

Kenneth Kunen
Transactions of the American Mathematical Society
Vol. 240 (Jun., 1978), pp. 307-316
DOI: 10.2307/1998822
Stable URL: http://www.jstor.org/stable/1998822
Page Count: 10
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Paracompactness of Box Products of Compact Spaces
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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 spacehas weight continuum or less, or if each space is dispersed. Some partial results are proved under Martin's axiom.

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