On the depth of topological spaces
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- by J. Gerlits PDF
- Proc. Amer. Math. Soc. 44 (1974), 507-508 Request permission
Abstract:
In this short note we prove that Kowalsky’s star-space of weight ${\omega _1}$ is a suitable counterexample to a conjecture of I. Juhàsz.References
- 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
- H.-J. Kowalsky, Topologische Räume, Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften, Mathematische Reihe, Bd. 26, Birkhäuser Verlag, Basel-Stuttgart, 1961 (German). MR 0121768 F. Hausdorff, Mengenlehre, 3rd ed., de Gruyter, Berlin, 1937; English 2nd ed. transl., Chelsea, New York, 1962. MR 25 #4999.
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 507-508
- MSC: Primary 54A25
- DOI: https://doi.org/10.1090/S0002-9939-1974-0345051-5
- MathSciNet review: 0345051