Three-dimensional FC Artin Groups are CAT(0)
Three-dimensional FC Artin Groups are CAT(0)
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三维 FC Artin 团体为 CAT(0)
DOI：
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发表时间：
2005
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影响因子：
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通讯作者：
Robert W. Bell
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文献类型：
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作者：
Robert W. Bell
在T.Brady早期工作的基础上，我们为满足Fc(FLAG Complex)条件的三维Artin群构造了局部CAT(0)分类空间。方法是通过应用CAT(1)空间的粘合变元和使用Elder和McCammond[Expostio Math]的曲率测试技术来验证‘链接条件’。11(1)(2002)，143-158]。
Building upon earlier work of T. Brady, we construct locally CAT(0) classifying spaces for those Artin groups which are three-dimensional and which satisfy the FC (flag complex) condition. The approach is to verify the ‘link condition’ by applying gluing arguments for CAT(1) spaces and by using the curvature testing techniques of Elder and McCammond [Expositio Math. 11(1) (2002), 143–158].