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Simplicial moves on complexes and manifolds

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arxiv math/9911256 v1 pith:MN7TLVY5 submitted 1999-11-20 math.GT

Simplicial moves on complexes and manifolds

W. B. R. Lickorish This is my paper
classification math.GT
keywords movescomplexespiecewisesimplicialclassiccollectioncombinatorialfinite
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Here are versions of the proofs of two classic theorems of combinatorial topology. The first is the result that piecewise linearly homeomorphic simplicial complexes are related by stellar moves. This is used in the proof, modelled on that of Pachner, of the second theorem. This states that moves from only a finite collection are needed to relate two triangulations of a piecewise linear manifold.

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