The Gromov topology on R-trees

@article{Paulin1989TheGT,
  title={The Gromov topology on R-trees},
  author={Fr'ed'eric Paulin},
  journal={Topology and its Applications},
  year={1989},
  volume={32},
  pages={197-221}
}
  • F. Paulin
  • Published 1 August 1989
  • Mathematics, Computer Science
  • Topology and its Applications
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If F is a free group on some fixed basis X, there is a mapping from F to the non-negative integers, given by sending an element of F to the length of the normal word in X±1 representing it. A similar
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This paper represents the beginning of an a t tempt to transfer, to the study of outer au tomorphisms of free groups, the powerful geometric techniques that were invented by Thurs ton to study
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That paper concerned the general theory of groups acting on R-trees and the relationship of these actions to representations into SL2(C). The purpose of the present paper is to develop the
Topologie de Gromov équivariante, structures hyperboliques et arbres réels
RésuméLes objets que nous étudions sont les espaces métriques munis d'une action par isométrie d'un groupe fixé Γ. Nous définissons une «topologie» naturelle sur «l'ensemble» de ces espaces. Nous
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