Expandibility and collectionwise normality
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- by J. C. Smith and L. L. Krajewski PDF
- Trans. Amer. Math. Soc. 160 (1971), 437-451 Request permission
Abstract:
In 1958 M. Katětov proved that in a normal space $X,X$ is expandable if and only if $X$ is collectionwise normal and countably paracompact. This result has since been used to answer many questions in various areas of general topology. In this paper Katětov’s theorem is generalized for nonnormal spaces and various characterizations of collectionwise normality are shown. Results concerning metrization, paracompactness, sum theorems, product theorems, mapping theorems and $M$-spaces are then obtained as applications of these new theorems.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 160 (1971), 437-451
- MSC: Primary 54.20
- DOI: https://doi.org/10.1090/S0002-9947-1971-0284966-5
- MathSciNet review: 0284966