论文标题

椭圆形和Sol 3 manifolds的三角剖分复杂性

The triangulation complexity of elliptic and sol 3-manifolds

论文作者

Lackenby, Marc, Purcell, Jessica S.

论文摘要

紧凑型3个序列的三角剖分复杂性是3个manifold的任何三角剖分中的四面体数量最少。我们将所有椭圆形3个manifolds和所有SOL 3模型的三角剖分复杂性计算为普遍界限的乘法误差。

The triangulation complexity of a compact 3-manifold is the minimal number of tetrahedra in any triangulation of the 3-manifold. We compute the triangulation complexity of all elliptic 3-manifolds and all sol 3-manifolds, to within a universally bounded multiplicative error.

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