11 citations · 16 across the 4 of their papers we have counts for
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math.GT2005★ 11 cited
A simple criterion for non-relative hyperbolicity and one-endedness of groups
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many importa…
math.GT2005★ 4 cited
Combinatorial rigidity in curve complexes and mapping class groups
Kenneth J. Shackleton
In all possible cases, we prove that local embeddings between two curve complexes whose complexities do not increase from domain to codomain are induced by surface homeomorphism. T…
math.GT2004★ 1 cited
Tightness and computing distances in the curve complex
Kenneth J. Shackleton
We give explicit bounds on the intersection number between any curve on a tight multigeodesic and the two ending curves. We use this to construct all tight multigeodesics and so co…