On intersection of simply connected sets in the plane

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72537Several authors have recently attempted to show that the intersection of three simply connected subcontinua of the plane is simply connected provided it is non-empty and the intersection of each two of the continua is path connected. In this note we give a very short complete proof of this fact. We also confirm a related conjecture of Karimov and Repovs.4 pagesGeneral TopologyGeometric Topology54C55; Secondary: 55M15, 54F15On intersection of simply connected sets in the planetext