Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 42, No. 2, pp. 401-406 (2001)

A Methodologically Pure Proof of a Convex Geometry Problem

Victor Pambuccian

Department of Integrative Studies, Arizona State University West, P. O. Box 37100, Phoenix AZ 85069-7100, USA, e-mail:

Abstract: We prove, using the minimalist axiom system for convex geometry proposed by W. A. Coppel, that, given $n$ red and $n$ blue points, such that no three are collinear, one can pair each of the red points with a blue point such that the $n$ segments which have these paired points as endpoints are disjoint.

Classification (MSC2000): 51G05, 52A01, 52B11, 51K05

Full text of the article:

[Previous Article] [Next Article] [Contents of this Number]
© 2001 ELibM for the EMIS Electronic Edition