On intersection of simply connected sets in the plane
General Topology
2007-05-23 v2 Geometric Topology
Abstract
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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Cite
@article{arxiv.math/0409349,
title = {On intersection of simply connected sets in the plane},
author = {E. D. Tymchatyn and V. Valov},
journal= {arXiv preprint arXiv:math/0409349},
year = {2007}
}
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4 pages