The axiomatics of ordered geometry

2010/09/19 by Victor Pambuccian · 1 citation
Engineering · Mathematics · Medicine · #Betweenness centrality #Calculus (dental) #Combinatorics #Geometry #History and Theory of Mathematics #Mathematics #Mathematics and Applications #Medicine #Orthodontics #Pure mathematics #graph theory and CDMA systems

paper · pdf · doi:10.1016/j.exmath.2010.09.004

openalex publication_date 2010/09/19 · crossref created 2010/09/19 · crossref issued 2011/01/01 · crossref published 2011/01/01 · crossref published-print 2011/01/01 · crossref deposited 2023/06/03 · openalex created_date 2025/10/10 · crossref indexed 2026/06/02 · openalex updated_date 2026/08/03

Citations

• Sylvester?Gallai Theorem and Metric Betweenness
• The Sylvester-Chvatal Theorem
• Sets of Completely Independent Postulates for Cyclic Order
• A survey of Sylvester's problem and its generalizations
• The Jordan curve theorem and an unpublished manuscript by max dehn
• A Set of Independent Postulates for Cyclic Order
• A Reverse Analysis of the Sylvester-Gallai Theorem
• The Road to Modern Logic—An Interpretation
• The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes
• Inter-relations among the four principal types of order
• A Problem of Collinear Points
• Untersuchungen �ber allgemeine Metrik

Cited by

• Pasch's axiom [wikipedia]