Nonhomogeneity of products of preimages and $\pi$-weight
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- by Eric K. van Douwen
- Proc. Amer. Math. Soc. 69 (1978), 183-192
- DOI: https://doi.org/10.1090/S0002-9939-1978-0644652-8
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Abstract:
We prove a general nonhomogeneity result which implies among others (1) if X is a homogeneous Hausdorff space, then $|X| \leqslant {2^{\pi (X)}}$; (2) no power of $\beta (\omega ) - \omega$, or of $\beta Q - Q$ or of $\beta R - R$ is homogeneous.References
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Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 183-192
- MSC: Primary 54F99; Secondary 54A25
- DOI: https://doi.org/10.1090/S0002-9939-1978-0644652-8
- MathSciNet review: 0644652