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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 - 2012

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Linear Order
Axiom
Axioms
Form

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

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

In: Journal of Geometry, Vol. 103, No. 2, 2012, p. 313-318.

Research output: Contribution to journalArticle

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