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On a Characterization of Collectionwise Normality

Published online by Cambridge University Press:  20 November 2018

O. T. Alas*
Affiliation:
University of São Paulo, São Paulo, Brazil
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The purpose of this note is to give some characterizations of collectionwise normality by means of the normality of certain product topological spaces; they are a consequence of a theorem proved by M. Katětov, but they appear to be new.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Bing, R. H., Metrization of topological spaces, Canad. J. Math. 3 (1951), 175-186.Google Scholar
2. Dowker, C. H., On countably paracompact spaces, Canad. J. Math. 3 (1951), 219-224.Google Scholar
3. Katětov, M., On extension of locally finite coverings. Colloq. Math. 6 (1958), 145-151. (Russian.)Google Scholar
4. Nagata, J., Modern general topology, North-Holland, Amsterdam, 1968.Google Scholar