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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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An $n$-dimensional subgroup of $\textbf {R}^ {n+1}$
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by James Keesling PDF
Proc. Amer. Math. Soc. 95 (1985), 106-108 Request permission

Abstract:

A construction given by R. D. Anderson and J. E. Keisler is modified to show that there exists an $n$-dimensional subgroup $G$ in ${R^{n + 1}}$ such that $\dim {G^k} = n$ for all $k$. The group $G$ is connected, locally connected, and divisible.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 106-108
  • MSC: Primary 54F45
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0796456-7
  • MathSciNet review: 796456