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Traversing three-manifold triangulations and spines

Traversing three-manifold triangulations and spines

A celebrated result concerning triangulations of a given closed three-manifold is that any two triangulations with the same number of vertices are connected by a sequence of so-called 2–3 and 3–2 moves. A similar result is known for ideal triangulations of topologically finite non-compact three-manifolds. These results build on classical …