On strongly discrete subsets of $\omega ^ \ast$
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- by Mariusz Rabus PDF
- Proc. Amer. Math. Soc. 118 (1993), 1291-1300 Request permission
Abstract:
We prove that it is consistent with Martin’s Axiom and $\neg \mathrm {CH}$ that there is a strongly discrete subspace $A \subseteq {\omega ^{\ast }}$ of cardinality ${\aleph _1}$ such that the closure of $A$ is not homeomorphic with $\beta {\omega _1}$. We also prove that MA and $\neg \mathrm {CH}$ imply that there is no convergent strongly discrete subset of ${\omega ^{\ast }}$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 1291-1300
- MSC: Primary 54D35; Secondary 03E35, 03E50, 54A35
- DOI: https://doi.org/10.1090/S0002-9939-1993-1181172-7
- MathSciNet review: 1181172