Double_limit_theorem
Double limit theorem
On when a sequence of quasi-Fuchsian groups have a convergent subsequence
In hyperbolic geometry, Thurston's double limit theorem gives condition for a sequence of quasi-Fuchsian groups to have a convergent subsequence. It was introduced in Thurston (1998, theorem 4.1) and is a major step in Thurston's proof of the hyperbolization theorem for the case of manifolds that fiber over the circle.