Paracompactness of box products of compact spaces

Kunen, Kenneth

doi:10.1090/S0002-9947-1978-0514975-6

Paracompactness of box products of compact spaces
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Trans. Amer. Math. Soc. 240 (1978), 307-316 Request permission

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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