Spaces with congruence

被引：0
|
作者：
Kreuzer, Alexander [1 ]
Soerensen, Kay [1 ]
机构：
[1] Tech Univ Munich, Zentrum Math, D-85747 Munich, Germany
来源：
DISCRETE MATHEMATICS | 2008年 / 308卷 / 2-3期
关键词：
congruence; motions; line reflections;
D O I：
10.1016/j.disc.2006.11.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider an exchange space with congruence (P, L, equivalent to) not assuming any further geometrical properties. If the dimension of the space is greater than 2, we show that for any line G of a plane E and any point x epsilon G there is a unique perpendicular line through x in E and that any line reflection is a motion. (c) 2007 Elsevier B.V. All rights reserved.
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页码：207 / 213
页数：7
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