## Paracompactness of box products of compact spaces

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- by Kenneth Kunen PDF
- 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.## References

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*Separation and covering properties of box products and products*(to appear).

## Additional Information

- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**240**(1978), 307-316 - MSC: Primary 54B10; Secondary 02K25, 54D20
- DOI: https://doi.org/10.1090/S0002-9947-1978-0514975-6
- MathSciNet review: 0514975