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arXiv 0909.4625math.GT
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Weber-Seifert十二面体空间是非Haken空间

The Weber-Seifert dodecahedral space is non-Haken

Benjamin A. Burton, J. Hyam Rubinstein, Stephan Tillmann

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.

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。

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