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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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