Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-25T06:02:41.335Z Has data issue: false hasContentIssue false

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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