The Osgood--Schoenflies theorem revisited
    
    
  
  
  
      
      
      
        
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 4, pp. 645-672
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			The very first unknotting theorem of a purely topological character established that every compact subset of the Euclidean plane homeomorphic to a circle can be moved onto a round circle by a globally defined self-homeomorphism of the plane. This difficult hundred-year-old theorem is here celebrated with a partly new elementary proof, and a first but tentative account of its history. Some quite fundamental corollaries of the proof are sketched, and some generalizations are mentioned.
			
            
            
            
          
        
      @article{RM_2005_60_4_a4,
     author = {L. Siebenmann},
     title = {The {Osgood--Schoenflies} theorem revisited},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {645--672},
     publisher = {mathdoc},
     volume = {60},
     number = {4},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2005_60_4_a4/}
}
                      
                      
                    L. Siebenmann. The Osgood--Schoenflies theorem revisited. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 4, pp. 645-672. http://geodesic.mathdoc.fr/item/RM_2005_60_4_a4/
