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

Research output: Contribution to journalArticle

1 Scopus citations


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
Issue number2
StatePublished - Oct 17 2012


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

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint Dive into the research topics of 'The non-planarity of K <sub>5</sub> and K <sub>3,3</sub> as axioms for plane ordered geometry'. Together they form a unique fingerprint.

  • Cite this