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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Two new topological cardinal inequalities
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by Shu Hao Sun PDF
Proc. Amer. Math. Soc. 104 (1988), 313-316 Request permission

Abstract:

In this paper, two new cardinal inequalities are obtained. The first one is a common generalization of inequalities of Hajnal-Juhasz and Sapirovskii; the second one generalizes the inequality of Arhangelskiĭ.
References
    R. Engelking, General topology, PWN, Warszawa, 1977. R. E. Hodel, Cardinal functions. I, Handbook of Set-Theoretic Topology (K. Kunen and J. E. Vaughan, eds.), North-Holland, 1984, pp. 1-61. I. Juhasz, Cardinal functions in topology—ten years later, Math. Centrum, Amsterdam, 1980. B. Sapirovskii, Canonical sets and character, density and weight in compact spaces, Soviet Math. Dokl. 15 (1974), 1282-1287.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 313-316
  • MSC: Primary 54A25
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958090-8
  • MathSciNet review: 958090