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On the union of simply connected planar sets
by
Dušan Repovš
University of Ljubljana
We shall prove that the union of any two simply connected compact subspaces of the plane is simply connected if their intersection is path connected and cellular. We shall also show that there exist two simply connected compact subspaces of the plane with a simply connected intersection and a nonsimply connected union. (This is a joint work with U.H.Karimov)
Date received: February 14, 2002
Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caik-25.