Classification of Restricted Linear Spaces

Abstract

The material in this paper is taken from the author's doctoral dissertation [2]. We will use the terminology and notation of [3]. Let us recall those terms which will be needed here.We define a restricted linear space (RLS) as a finite set of p elements, called points, of which q subsets, called lines, are distinguished so that the following axioms hold:(RLS-1) Any two distinct points u, v belong to exactly one common line uv.