Glasnik matematički, Vol. 41 No. 1, 2006.
Original scientific paper
On intersections of simply connected sets in the plane
E. D. Tymchatyn
Vesko Valov
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 Repovš.
Keywords
Helly theorem; plane continua; absolute retracts
Hrčak ID:
3306
URI
Publication date:
24.5.2006.
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