复形和流形上的单纯形移动
Simplicial moves on complexes and manifolds
摘要：
这里是两个经典的组合拓扑定理的证明版本。第一个结果是分段线性同胚单纯复形与恒星运动有关。这是用在证明，仿照Pachner，第二定理。这表明，从一个有限的集合只需要移动到相关的两个三角剖分的分片线性流形。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
