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Proceedings of the American Mathematical Society

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A short proof of a cardinal inequality involving homogeneous spaces


Author: Ryszard Frankiewicz
Journal: Proc. Amer. Math. Soc. 75 (1979), 372-373
MSC: Primary 54A25
DOI: https://doi.org/10.1090/S0002-9939-1979-0532168-X
MathSciNet review: 532168
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Abstract: We give a short proof of van Douwen's theorem that $ \vert X\vert \leqslant {2^{\pi (X)}}$ holds for homogeneous Hausdorff spaces.


References [Enhancements On Off] (What's this?)

  • [vD] E. K. van Douwen, Nonhomogeneity of products of preimages and $ \pi $-weight, Proc. Amer. Math. Soc. 69 (1978), 183-192. MR 0644652 (58:30998)
  • [J] I. Juhász, Cardinal functions in topology, Mathematical Centre Tract 34, Math. Centrum, Amsterdam, 1971. MR 0340021 (49:4778)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0532168-X
Keywords: $ \pi $-weight, homogeneous
Article copyright: © Copyright 1979 American Mathematical Society

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