On hyperbolic Coxeter polytopes with mutually intersecting facets

被引：9
|
作者：
Felikson, Anna [1 ]
Tumarkin, Pavel [1 ]
机构：
[1] Independent Univ Moscow, Moscow 119002, Russia
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2008年 / 115卷 / 01期
关键词：
Coxeter polytope; missing face; gale diagram; simple polytope;
D O I：
10.1016/j.jcta.2007.04.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that, apart from some well-known low-dimensional examples, any compact hyperbolic Coxeter polytope has a pair of disjoint facets. This is one of very few known general results concerning combinatorics of compact hyperbolic Coxeter polytopes. We also obtain a similar result for simple non-compact polytopes. (c) 2007 Elsevier Inc. All rights reserved.
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页码：121 / 146
页数：26
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