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On Countably Paracompact Normal Spaces

Published online by Cambridge University Press:  20 November 2018

M. J. Mansfield
M. J. Mansfield*
Affiliation:
Purdue University
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A. H. Stone (9), E. Michael (3, 4), J. L. Kelley and J. S. Griff en (2) have established many necessary and sufficient conditions that a regular Hausdorff space be paracompact. It is the purpose of this note to show that if the word “countable” is inserted in the appropriate places in the above-mentioned conditions they become, in general, necessary and sufficient conditions that a normal space be countably paracompact.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 443 - 449
Copyright
Copyright © Canadian Mathematical Society 1957

References

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