When is Jones’ space normal?
HTML articles powered by AMS MathViewer
- by William G. Fleissner PDF
- Proc. Amer. Math. Soc. 50 (1975), 375-378 Request permission
Abstract:
In the search for nonmetrizable normal Moore spaces, Jones proposed the space discussed in this paper. He was unable to determine if it was normal. We show that the normality of this space depends on set theoretic principles more recent than ${2^{{\aleph _0}}} < {2^{{\aleph _1}}}$, which he used to show that separable normal Moore spaces are metrizable.References
-
F. Jones, Remarks on the normal Moore space metrization problem, Wisconsin Topology Seminar, 1965.
- I. Juhász, Cardinal functions in topology, Mathematical Centre Tracts, No. 34, Mathematisch Centrum, Amsterdam, 1971. In collaboration with A. Verbeek and N. S. Kroonenberg. MR 0340021
- William Fleissner, Normal Moore spaces in the constructible universe, Proc. Amer. Math. Soc. 46 (1974), 294–298. MR 362240, DOI 10.1090/S0002-9939-1974-0362240-4 R. Jensen, The consistency of Souslin’s hypothesis with CH, 150 handwritten pages!
- Keith J. Devlin, Note on a theorem of J. Baumgartner, Fund. Math. 76 (1972), no. 3, 255–260. MR 540759, DOI 10.4064/fm-76-3-255-260
- J. Baumgartner, J. Malitz, and W. Reinhardt, Embedding trees in the rationals, Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 1748–1753. MR 314621, DOI 10.1073/pnas.67.4.1748
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 375-378
- MSC: Primary 54E30; Secondary 02K05, 54D15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0394583-3
- MathSciNet review: 0394583