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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

An $ n$-dimensional subgroup of $ {\bf R}\sp {n+1}$


Author: James Keesling
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1985-0796456-7
Keywords: Subgroup of $ {R^n}$, dimension, dimension of products
Article copyright: © Copyright 1985 American Mathematical Society