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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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Dimensions of topological groups containing the bouquet of two circles
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by Takashi Kimura PDF
Proc. Amer. Math. Soc. 114 (1992), 1109-1113 Request permission

Abstract:

In this paper we prove the following: If a topological group $G$ contains the bouquet ${S^1} \vee {S^1}$, then $G \geq 2$ holds. This is a counterexample to a question of Bel’nov in the one-dimensional case.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 1109-1113
  • MSC: Primary 54F45; Secondary 22A05, 54C25
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1079892-7
  • MathSciNet review: 1079892