Polytopes, cones, and complexes
Polytopes, cones, and complexes
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DOI：
10.1007/b105283_1
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发表时间：
2009-01-01
期刊：
影响因子：
--
通讯作者：
Gubeladze, Joseph
中科院分区：
文献类型：
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作者：
Bruns, Winfried;Gubeladze, Joseph
本书中讨论的代数对象由两种类型的结构决定：与凸性相关的连续结构和由格决定的离散结构。在本章中，我们发展凸几何和与凸相关的组合拓扑的概念。基本的凸对象有多面体、多面体和锥体，相关的组合结构有多面体复合体、三角形和扇形。在最后一节中，我们将凸结构和点阵结构结合起来。
Thealgebraic objects discussed in this book are determined by two types of structures: continuous ones related to convexity and discrete ones determined by lattices. In this chapter we develop notions of convex geometry and of combinatorial topology related to convexity.The basic convex objects are polyhedra, polytopes, and cones, and the related combinatorial constructions are polyhedral complexes, triangulations, and fans. In the last section we unite convexity and lattice structures.