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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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Sequential group topology on rationals with intermediate sequential order
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by Alexander Shibakov PDF
Proc. Amer. Math. Soc. 124 (1996), 2599-2607 Request permission

Abstract:

Using CH we construct a countable sequential topological group whose sequential order is between $2$ and $\omega$ giving a consistent negative answer to P. Niykos’ question.
References
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Additional Information
  • Alexander Shibakov
  • Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
  • MR Author ID: 355084
  • Email: shobaay@mallard.duc.auburn.edu
  • Received by editor(s): February 24, 1995
  • Communicated by: Franklin D. Tall
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2599-2607
  • MSC (1991): Primary 54D55, 54A20
  • DOI: https://doi.org/10.1090/S0002-9939-96-03636-2
  • MathSciNet review: 1353400