On collectionwise normality of locally compact, normal spaces
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- by Zoltán T. Balogh PDF
- Trans. Amer. Math. Soc. 323 (1991), 389-411 Request permission
Abstract:
We prove that by adjoining supercompact many Cohen or random reals to a model of ZFC set theory, in the resulting model, every normal locally compact space is collectionwise normal. In the same models, countably paracompact, locally compact ${T_3}$-spaces are expandable. Local compactness in the above theorems can be weakened to being of point-countable type, a condition that is implied by both Čech-completeness and first countability.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 323 (1991), 389-411
- MSC: Primary 54D15; Secondary 03E35, 03E55, 54A35, 54D45
- DOI: https://doi.org/10.1090/S0002-9947-1991-0989571-3
- MathSciNet review: 989571