On intersection of simply connected sets in the plane

Details On intersection of simply connected sets in the plane On intersection of simply connected sets in the plane

2004-09-20

arxiv.org/abs/math/0409349v2

Mathematics

General Topology

4 pages

Scientific paper

Several 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.

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