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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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Reflexivity of topological groups
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by Peter Nickolas PDF
Proc. Amer. Math. Soc. 65 (1977), 137-141 Request permission

Abstract:

It is shown that under mild conditions the path-component of the identity in the dual group $G\hat \emptyset$ of an Abelian topological group G is precisely the union of the one-parameter subgroups of $G\hat \emptyset$. This yields several corollaries, including a necessary condition for certain groups to be reflexive (to satisfy the Pontrjagin duality theorem), and a negative answer to a question of N. Noble.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 137-141
  • MSC: Primary 22A05
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0486276-0
  • MathSciNet review: 0486276