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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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A short proof that compact quasidevelopable spaces are metrizable
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by H. R. Bennett PDF
Proc. Amer. Math. Soc. 86 (1982), 667-668 Request permission

Abstract:

A new characterization of quasidevelopable spaces is given that allows an easier proof that compact quasidevelopable spaces are metrizable.
References
  • Harold R. Bennett, A note on the metrizability of $M$-spaces, Proc. Japan Acad. 45 (1969), 6–9. MR 246254
    • —, On quasi-developable spaces, General Topology Appl. 2 (1972), 49-55.
  • Robert W. Heath, Arc-wise connectedness in semi-metric spaces, Pacific J. Math. 12 (1962), 1301–1319. MR 166759
  • Kenneth Kunen, Set theory, Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland Publishing Co., Amsterdam-New York, 1980. An introduction to independence proofs. MR 597342
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 667-668
  • MSC: Primary 54E30; Secondary 54E35
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0674102-8
  • MathSciNet review: 674102