Homomorphisms for equidistance relations

Authors

Thomas Q. Sibley, College of Saint Benedict/Saint John's UniversityFollow

Document Type

Article

Publication Date

1983

Disciplines

Mathematics

Abstract

This paper presents necessary and sufficient conditions for the existence of homomorphisms for equidistance relations in terms of the closed subsystems (the Fundamental Theorem of Homomorphisms). Further, it shows that every closed subsystem of a 1-point homogenous equidistance system is a coset of a unique homomorphism. Affine spaces and other incidence geometries can be seen as examples of equidistance systems.

Recommended Citation

Sibley TQ. 1983. Homomorphisms for equidistance relations. Cuttington Research Journal 2(1): 1-11.