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EVERY COUNTABLE GROUP IS THE FUNDAMENTAL GROUP OF SOME COMPACT SUBSPACE OF $\mathbb{R}^{4}$
Published online by Cambridge University Press: 17 April 2015
Abstract
For every countable group $G$ we construct a compact path connected subspace $K$ of $\mathbb{R}^{4}$ such that ${\it\pi}_{1}(K)\cong G$. Our construction is much simpler than the one found recently by Virk.
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- Research Article
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- © 2015 Australian Mathematical Publishing Association Inc.
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