Weber-Seifert十二面体空间是非Haken空间
The Weber-Seifert dodecahedral space is non-Haken
摘要:
在本文中,我们解决瑟斯顿的老问题是否韦伯塞弗特十二面体空间是非哈肯,一个问题,一直是基准的进展计算3-流形拓扑结构在最近几十年。我们解决这个问题,结合最近的重大进展,正常表面枚举,新的启发式修剪技术,和一个新的理论测试,扩展了开创性的工作,雅科和Oertel。
英文摘要:
In this paper we settle Thurston's old question of whether the Weber-Seifert dodecahedral space is non-Haken, a problem that has been a benchmark for progress in computational 3-manifold topology over recent decades. We resolve this question by combining recent significant advances in normal surface enumeration, new heuristic pruning techniques, and a new theoretical test that extends the seminal work of Jaco and Oertel.
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