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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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Remarks on subsequences, subseries and rearrangements
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by M. Bhaskara Rao, K. P. S. Bhaskara Rao and B. V. Rao PDF
Proc. Amer. Math. Soc. 67 (1977), 293-296 Request permission

Abstract:

In this paper we shall evaluate the measure theoretic, as well as topological (Baire category theoretic) complexity of the set of convergent subsequences of a given sequence of real numbers. Similar problems regarding subseries and rearrangements of a given series are also discussed.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 67 (1977), 293-296
  • MSC: Primary 40A05
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0493027-2
  • MathSciNet review: 0493027