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.