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arXiv 1601.05482math.GT
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窗口、核心和蒙皮贴图

Windows, cores and skinning maps

Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N. Minsky

摘要:

本文给出了Thurston关于蒙皮映射的有界象定理的一个推广,它适用于具有不可压缩边界且不一定是非圆柱形的流形。一路上,我们研究性质的发散序列在变形空间的这样一个流形,建立存在的紧凑的核心,满足一定的概念一致的几何。

英文摘要:

We give a generalization of Thurston's Bounded Image Theorem for skinning maps, which applies to pared 3-manifolds with incompressible boundary that are not necessarily acylindrical. Along the way we study properties of divergent sequences in the deformation space of such a manifold, establishing the existence of compact cores satisfying a certain notion of uniform geometry.

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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