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

Research output: Contribution to journalArticlepeer-review

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 K5 (or K3,3) is not planar.

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

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