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- W2093674495 abstract "In 1958 M. KatÄtov 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 KatÄtovâs 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." @default.
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- W2093674495 date "1971-01-01" @default.
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- W2093674495 title "Expandibility and collectionwise normality" @default.
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- W2093674495 doi "https://doi.org/10.1090/s0002-9947-1971-0284966-5" @default.
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