Compactifications of symmetrizable spaces
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- by D. K. Burke and S. W. Davis PDF
- Proc. Amer. Math. Soc. 81 (1981), 647-651 Request permission
Abstract:
In response to questions of Arhangel’skiĭ, we present examples of (1) $({\text {MA}} + \neg {\text {CH}})$ a symmetrizable space which is not metrizable but has a completely normal compactification and (2) $({\text {CH}})$ a symmetrizable space which is not metrizable but has a perfectly normal compactification. In the construction of (2), a technique is developed which can be used to obtain first countable compactifications of many interesting examples.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 647-651
- MSC: Primary 54D35; Secondary 54E25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0601747-2
- MathSciNet review: 601747