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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129590It has been known for a long time that the fundamental group of the quotient of $\RR ^3$ by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.Geometric TopologyAlgebraic Topology54F15, 55Q52, 57M05, 54B15, 54F35, 54G15On the fundamental group of $\mathbb R^3$ modulo the Case-Chamberlin continuumtext