## Order-cushioned refinements and normality

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- by J. C. Smith and Rastislav Telgársky PDF
- Proc. Amer. Math. Soc.
**85**(1982), 475-479 Request permission

## Abstract:

The authors use the notions of order-cushioned covers and weak $\theta$-covers to obtain the following result. Theorem.*A space*$X$

*is collectionwise normal iff every weak*$\theta$

*-cover of*$X$

*has an order-cushioned open refinement*. Similar characterizations are obtained for normal, countably paracompact spaces and analogous embedding theorems are shown.

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## Additional Information

- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**85**(1982), 475-479 - MSC: Primary 54D15; Secondary 54D20
- DOI: https://doi.org/10.1090/S0002-9939-1982-0656127-1
- MathSciNet review: 656127