R-trees and laminations for free groups I: algebraic laminations

• Autores: Thierry Coulbois, Arnaud Hilion, Martin Lustig
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 3, 2008, págs. 723-736
• Idioma: inglés
• DOI: 10.1112/jlms/jdn052
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• Resumen

  • This paper is the first of a sequence of three papers, where the concept of a real tree dual to a measured geodesic lamination in a hyperbolic surface is generalized to arbitrary real trees provided with a (very small) action of a free group by isometries. Laminations for free groups are defined with care in three different approaches: algebraic laminations, symbolic laminations, and laminary languages. The topology on the space of laminations and the action of the outer automorphisms group are detailed