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

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

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 3,3) is not planar.

Original languageEnglish (US)
Pages (from-to)313-318
Number of pages6
JournalJournal of Geometry
Volume103
Issue number2
DOIs
StatePublished - Oct 17 2012

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

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