There is no universal separable Moore space
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- by Eric K. van Douwen PDF
- Proc. Amer. Math. Soc. 76 (1979), 351-352 Request permission
Abstract:
There is no Hausdorff space of cardinality $\mathfrak {c}$ (in particular, there is no separable Moore space) which includes a homeomorph of every separable Moore space.References
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
- S. Mrówka, On completely regular spaces, Fund. Math. 41 (1954), 105–106. MR 63650, DOI 10.4064/fm-41-1-105-106
- S. Mrówka, Some set-theoretic constructions in topology, Fund. Math. 94 (1977), no. 2, 83–92. MR 433388, DOI 10.4064/fm-94-2-83-92
- G. M. Reed, On subspaces of separable first countable $T_{2}$-spaces, Fund. Math. 91 (1976), no. 3, 189–202. MR 425913, DOI 10.4064/fm-91-3-189-202
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 351-352
- MSC: Primary 54E30
- DOI: https://doi.org/10.1090/S0002-9939-1979-0537104-8
- MathSciNet review: 537104