Multiple ascending HNN extensions of free groups by finitely many hyperbolic non-surjective endomorphisms are hyperbolic.
A hyperbolic-by-hyperbolic hyperbolic group.Proceedings of the American Mathematical Society, 125(12):3447–3455
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Hyperbolicity of Multiple Ascending HNN Extensions of Free Groups
Multiple ascending HNN extensions of free groups by finitely many hyperbolic non-surjective endomorphisms are hyperbolic.