English

On the fundamental group of $\mathbb R^3$ modulo the Case-Chamberlin continuum

Geometric Topology 2007-05-30 v1 Algebraic Topology

Abstract

It has been known for a long time that the fundamental group of the quotient of \RR3\RR ^3 by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.

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Cite

@article{arxiv.0705.4159,
  title  = {On the fundamental group of $\mathbb R^3$ modulo the Case-Chamberlin continuum},
  author = {K. Eda and U. H. Karimov and D. Repovš},
  journal= {arXiv preprint arXiv:0705.4159},
  year   = {2007}
}