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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Applications of nonstandard models and Lebesgue measure to sequences of natural numbers
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by Steven C. Leth PDF
Trans. Amer. Math. Soc. 307 (1988), 457-468 Request permission

Abstract:

By use of a nonstandard model, sequences of natural numbers are associated with a collection of closed subsets of reals in a natural way. The topological and measure-theoretic properties of the associated closed sets are used to prove standard theorems and define new density functions on sequences.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 307 (1988), 457-468
  • MSC: Primary 11B05; Secondary 03H15, 11B75, 11U10
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0940212-0
  • MathSciNet review: 940212