The non-planarity of K-5 and K-3,K-3 as axioms for plane ordered geometry

被引：0

作者：

Pambuccian, Victor ^{[1
]}

机构：

[1] Arizona State Univ, Sch Math & Nat Sci MC 2352, West Campus POB 37100, Phoenix, AZ 85069 USA

来源：

JOURNAL OF GEOMETRY | 2012年 / 103卷 / 02期

关键词：

The Pasch axiom; the outer form of the Pasch axiom; non-planarity; ordered planes; splitting an axiom;

D O I：

10.1007/s00022-012-0129-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Pasch axiom is shown to be equivalent, given the linear order axioms, to the conjunction of its outer form with the statement that K-5 (or K-3,K-3)is not planar.

引用

页码：313 / 318

页数：6

共 50 条

[1] The non-planarity of K5 and K3,3 as axioms for plane ordered geometry
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