The axiomatics of ordered geometry. I. Ordered incidence spaces

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

We present a survey of the rich theory of betweenness and separation, from its beginning with Pasch's 1882 Vorlesungen über neuere Geometrie to the present.

Original languageEnglish (US)
Pages (from-to)24-66
Number of pages43
JournalExpositiones Mathematicae
Volume29
Issue number1
DOIs
StatePublished - 2011

Keywords

  • Axiom system
  • Half-ordered geometry
  • Ordered geometry

ASJC Scopus subject areas

  • General Mathematics

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