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On the depth of topological spaces


Author: J. Gerlits
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
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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 [Enhancements On Off] (What's this?)

  • [1] I. Juhàsz, A. Verbeek and N. S. Kroonenberg, Cardinal functions in topology, Mathematical Centre Tracts, no. 34, North-Holland, Amsterdam, 1971. MR 0340021 (49:4778)
  • [2] H. J. Kowalsky, Topologische Räume, Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften, Math. Reihe, Band 26, Birkhäuser Verlag, Basil, Stuttgart, 1961, 271 pp. MR 22 #12502. MR 0121768 (22:12502)
  • [3] F. Hausdorff, Mengenlehre, 3rd ed., de Gruyter, Berlin, 1937; English 2nd ed. transl., Chelsea, New York, 1962. MR 25 #4999.

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DOI: https://doi.org/10.1090/S0002-9939-1974-0345051-5
Article copyright: © Copyright 1974 American Mathematical Society

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