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Transactions of the American Mathematical Society
Journal Article

Paracompactness of Box Products of Compact Spaces

Kenneth Kunen
Transactions of the American Mathematical Society
Vol. 240 (Jun., 1978), pp. 307-316
Published by: American Mathematical Society
DOI: 10.2307/1998822
https://www.jstor.org/stable/1998822
Page Count: 10

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Topics: Cardinality, Mathematical theorems, General topology, Martins axiom, First countable, Topological spaces
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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.
Transactions of the American Mathematical Society © 1978 American Mathematical Society