Title of article :
On the union of simply connected planar sets
Author/Authors :
Karimov، نويسنده , , Umed H. and Repov?، نويسنده , , Du?an، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2002
Abstract :
We 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 also show that there exist two simply connected compact subspaces of the plane with a simply connected intersection and a nonsimply connected union.
Keywords :
Planar continuum , Fixed-point property , Compact metric space , Seifert–van Kampen theorem , Simply connected space
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
