Combinatorial and Geometric Methods in Topology

被引：0
|
作者：
Carlo Petronio
Damian Heard
Ekaterina Pervova
机构：
[1] Dipartimento di Matematica Applicata,
[2] RedTribe,undefined
来源：
Milan Journal of Mathematics | 2008年 / 76卷
关键词：
Enumeration of 3-manifolds; hyperbolic geometry; octahedron; Primary 57M50; Secondary 57M25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron, we will describe the central rôle played by hyperbolic geometry within three-dimensional topology. We will also point out the striking difference with the two dimensional case, and we will review some of the results of the combinatorial and computational approach to three-manifolds developed by different mathematicians over the last several years.
引用
收藏
页码：69 / 92
页数：23
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