C. Peter-jephson, Oligomorphic permutation groups, London Mathematical Society Lecture Note Series, vol.152, 1990.

R. Camerlo, Dendrites as Polish structures, Proc. Amer. Math. Soc, vol.139, issue.6, pp.2217-2225, 2011.

G. Cantor, Beiträge zur Begründung der transfiniten Mengenlehre, Math. Ann, vol.46, pp.481-512, 1895.

J. W?odzimierz, A. M. Charatonik, and . Dilks, On self-homeomorphic spaces, Topology Appl, vol.55, issue.3, pp.215-238, 1994.

J. Janusz and . Charatonik, Homeomorphisms of universal dendrites, Rend. Circ. Mat. Palermo, vol.44, issue.2, pp.457-468, 1995.

M. Droste, C. W. Holland, J. , and H. D. Macpherson, Automorphism groups of infinite semilinear orders, I. Proc. London Math. Soc, vol.58, issue.3, pp.454-478, 1989.

B. Duchesne and N. Monod, Group actions on dendrites and curves. Preprint, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01359816

M. Droste, Structure of partially ordered sets with transitive automorphism groups, Mem. Amer. Math. Soc, vol.57, issue.334, p.100, 1985.

M. Droste and J. K. Truss, Uncountable cofinalities of automorphism groups of linear and partial orders, Algebra Universalis, vol.62, issue.1, pp.75-90, 2009.

D. M. Evans and T. Tsankov, Free actions of free groups on countable structures and property (T), Fund. Math, vol.232, issue.1, pp.49-63, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01251575

A. Sotirios and K. , Classical descriptive set theory, Graduate Texts in Mathematics, vol.156, 1995.

A. Sotirios, K. , and C. Rosendal, Turbulence, amalgamation, and generic automorphisms of homogeneous structures, Proc. Lond. Math. Soc, vol.94, issue.3, pp.302-350, 2007.

C. Kuratowski and G. Thomas-whyburn, Sur les éléments cycliques et leurs applications, Fund. Math, vol.16, issue.1, pp.305-331, 1930.

. Holbrook-mann-macneille, Partially ordered sets, Trans. Amer. Math. Soc, vol.42, issue.3, pp.416-460, 1937.

J. A. Maroli, Tree Permutation Groups, 1989.

S. Bernard-nadler and J. , Continuum theory, Monographs and Textbooks in Pure and Applied Mathematics, vol.158, 1992.

V. G. Pestov, On free actions, minimal flows, and a problem by Ellis, Trans. Amer. Math. Soc, vol.350, issue.10, pp.4149-4165, 1998.

R. Robert-horace, Generalized intervals and topology, Czechoslovak Math. J, vol.26, issue.101, pp.527-540, 1976.

C. Rosendal, A topological version of the Bergman property, Forum Math, vol.21, issue.2, pp.299-332, 2009.

C. Rosendal, Large scale geometry of metrisable groups, 2014.

C. Rosendal and S. Solecki, Automatic continuity of homomorphisms and fixed points on metric compacta, Israel J. Math, vol.162, pp.349-371, 2007.

M. Rubin, On the reconstruction of topological spaces from their groups of homeomorphisms, Trans. Amer. Math. Soc, vol.312, issue.2, pp.487-538, 1989.

O. Schreier and . Stanis?aw-marcin-ulam, Über die Permutationsgruppe der natürlichen Zahlenfolge, Studia Math, vol.4, pp.134-141, 1933.

J. Tits, Sur le groupe des automorphismes d'un arbre, Essays on topology and related topics (Mémoires dédiés à Georges de Rham), pp.188-211, 1970.

T. Tsankov, Unitary representations of oligomorphic groups, Geom. Funct. Anal, vol.22, issue.2, pp.528-555, 2012.

G. Thomas-whyburn, Analytic Topology, 1942.

U. Institut-Élie-cartan, N. De-lorraine, and F. , E-mail address: bruno.duchesne@univ-lorraine.fr EPFL, 1015 LAUSANNE, SWITZERLAND. E-mail address: nicolas