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EVERY COUNTABLE GROUP IS THE FUNDAMENTAL GROUP OF SOME COMPACT SUBSPACE OF
$\mathbb{R}^{4}$
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 92 / Issue 1 / August 2015
- Published online by Cambridge University Press:
- 17 April 2015, pp. 145-148
- Print publication:
- August 2015
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- Article
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- You have access
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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.
