There are many Ostaszewski spaces
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- by Timothy J. LaBerge PDF
- Proc. Amer. Math. Soc. 118 (1993), 987-993 Request permission
Abstract:
We show that ${\diamondsuit _{{\omega _1}}}$ implies there is a family of ${2^{{\omega _1}}}$ many pairwise nonhomeomorphic Ostaszewski spaces, with the additional property that any continuous image of one in another is compact. We also present diamond versions of Fleissner’s forcing results concerning the normality of products of Ostaszewski spaces and their compactifications.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 987-993
- MSC: Primary 54A35; Secondary 54B10, 54G15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1137225-2
- MathSciNet review: 1137225