Add to ORKGAbstract: We use pseudo-Anosov homeomorphisms of surfaces in order to prove that the rst-order theory of non-Abelian free groups, Tfg, is n-ample for any n 2!. This result adds to the work of Pillay, which proved that Tfg is non-CM-trivial. The sequence witnessing ampleness is a sequence of primitive elements in F!. Our result provides an alternative proof to the main result of a recent preprint by Ould Houcine and Tent. Key words: Free groups, pseudo-Anosov homeomorphisms, geometric stability theory 1
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
We put Soren Galatius's result on the homology of the automorphism group of free groups into context...
International audienceNon-n-ampleness as defined by Pillay and Evans is preserved under analysabilit...
The dissertation solves the short-word pseudo-Anosov problem posed by Fujiwara. Given any generatin...
Abstract. We give a uniform construction of free pseudospaces of dimension n extending work in [1].3...
Abstract. We give a characterization of the geometric automorphisms in a certain class of (not neces...
Abstract. The ample hierarchy of geometries of stables theories is strict. We generalise the constru...
62The ample hierarchy of geometries of stables theories is strict. We generalise the construction of...
International audienceFor any surface Σ of genus g≥1 and (essentially) any collection of positive in...
We show that for a large class C of finitely generated groups of orientation preserving homeomorphis...
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorp...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
This paper reviews approximately 30 revisions of the paper ”Elementary theory of free nonabelian gro...
Abstract. An Abelian group is pseudofree of rank if it belongs to the extended genus of Z, i.e., it...
This thesis is motivated by a foundational result of Thurston which states that pseudo- Anosov mappi...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
We put Soren Galatius's result on the homology of the automorphism group of free groups into context...
International audienceNon-n-ampleness as defined by Pillay and Evans is preserved under analysabilit...
The dissertation solves the short-word pseudo-Anosov problem posed by Fujiwara. Given any generatin...
Abstract. We give a uniform construction of free pseudospaces of dimension n extending work in [1].3...
Abstract. We give a characterization of the geometric automorphisms in a certain class of (not neces...
Abstract. The ample hierarchy of geometries of stables theories is strict. We generalise the constru...
62The ample hierarchy of geometries of stables theories is strict. We generalise the construction of...
International audienceFor any surface Σ of genus g≥1 and (essentially) any collection of positive in...
We show that for a large class C of finitely generated groups of orientation preserving homeomorphis...
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorp...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
This paper reviews approximately 30 revisions of the paper ”Elementary theory of free nonabelian gro...
Abstract. An Abelian group is pseudofree of rank if it belongs to the extended genus of Z, i.e., it...
This thesis is motivated by a foundational result of Thurston which states that pseudo- Anosov mappi...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
We put Soren Galatius's result on the homology of the automorphism group of free groups into context...
International audienceNon-n-ampleness as defined by Pillay and Evans is preserved under analysabilit...