Fundamental groups of compact Hausdorff spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73978We discuss which groups can be realized as the fundamental groups of compact Hausdorff spaces. In particular, we prove that the claim ``every group can be realized as the fundamental group of a compact Hausdorff space'' is consistent with the Zermelo - Fraenkel - Choice set theory.Latex, 2 pagesAlgebraic TopologyGeneral Topology55Q05Fundamental groups of compact Hausdorff spacestext