Ordered Incidence geometry and the geometric foundations of convexity theory

Aharon Ben-Tal, Adi Ben-Israel

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

An Ordered Incidence Geometry, that is a geometry with certain axioms of incidence and order, is proposed as a minimal setting for the fundamental convexity theorems, which usually appear in the context of a linear vector space, but require only incidence, order (and for separation, completeness), and none of the linear structure of a vector space.

Original languageEnglish (US)
Pages (from-to)103-122
Number of pages20
JournalJournal of Geometry
Volume30
Issue number2
DOIs
StatePublished - Dec 1 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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