Every countable group is the fundamental group of some compact subspace of R^4
Geometric Topology
2015-07-15 v2
Abstract
For every countable group G we construct a compact path connected subspace K of R^4 whose fundamental group is isomorphic to G. Our construction is much simpler than the one found recently by Virk.
Cite
@article{arxiv.1411.2546,
title = {Every countable group is the fundamental group of some compact subspace of R^4},
author = {Adam J. Przezdziecki},
journal= {arXiv preprint arXiv:1411.2546},
year = {2015}
}
Comments
4 pages; figure on page 1 corrected