Simplicial moves on complexes and manifolds

1999/11/20 by W. B. R. Lickorish · 7 citations
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.2140/gtm.1999.2.299

openalex publication_date 1999/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

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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